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Or Fire Blast but not Flamethrower? Blizzard but not Ice Beam? Hydro Pump but not Surf? How about vice versa? Can any Pokemon learn Thunderbolt but not Thunder? Flamethrower but not Fire Blast? etc.

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Best answer

As of Generation IX:
! = "not"

Thunder, !Thunderbolt

Duosion, Iron Treads, Reuniclus, Solosis

Thunderbolt, !Thunder

Amaura, Beheeyem, Buneary, Cyclizar, Elgyem, Espurr, Ferroseed, Gallade, Garbodor, Gardevoir, Golurk, Goomy, Gothita, Gothitelle, Gothorita, Grubbin, Herdier, Hoopa, Inkay, Iron Valiant, Kirlia, Klang, Klink, Lillipup, Magearna, Magmortar, Malamar, Meltan, Meowstic, Minccino, Naganadel, Patrat, Ralts, Silvally, Skrelp, Spritzee, Swirlix

Fire Blast, !Flamethrower

N/A

Flamethrower, !Fire Blast

Druddigon, Eelektross, Electivire, Electrike, Exeggutor-Alola, Furret, Genesect, Inkay, Kommo-o, Malamar, Manectric, Noivern, Sentret, Seviper, Silvally, Slurpuff, Swirlix, Terapagos, Walking Wake, Watchog, Zoroark, Zoroark-Hisui

Blizzard, !Ice Beam

Chien-Pao, Rotom-Frost

Ice Beam, !Blizzard

Altaria, Baltoy, Buneary, Claydol, Cresselia, Deoxys, Ducklett, Golett, Golurk, Gulpin, Latias, Latios, Magearna, Mawile, Melmetal, Sigilyph, Silvally, Swablu, Swalot, Swanna, Terapagos, Wishiwashi

Hydro Pump, !Surf

Bagon, Castform, Hydrapple, Iron Bundle, Iron Jugulis, Magikarp, Roaring Moon, Rotom-Wash, Salamence, Shelgon, Volcanion

Surf, !Hydro Pump

Audino, Avalugg-Hisui, Axew, Azurill, Barbaracle, Beartic, Bergmite, Bibarel, Binacle, Bouffalant, Bunnelby, Clamperl, Cubchoo, Diggersby, Druddigon, Ducklett, Feebas, Fraxure, Furfrou, Furret, Garchomp, Gogoat, Golisopod, Hariyama, Haxorus, Heliolisk, Helioptile, Herdier, Krabby, Latias, Latios, Linoone, Linoone-Galar, Lotad, Makuhita, Miltank, Nidoking, Nidoqueen, Obstagoon, Pancham, Pangoro, Pichu, Pikachu, Raichu, Raichu-Alola, Rampardos, Sealeo, Sentret, Silvally, Skiddo, Slurpuff, Sneasel, Spheal, Stoutland, Stunfisk, Stunfisk-Galar, Swirlix, Tauros, Tauros-Paldea-Combat, Terapagos, Weavile, Wimpod, Zangoose, Zigzagoon, Zigzagoon-Galar


To do this yourself, use the following command in a Showdown chatroom or PM:

/nds MOVE1, !MOVE2, all

Replace MOVE1 with the learnable move and MOVE2 with the unlearnable move. This command doesn't take into account generation-by-generation learnsets (for example, Sandslash-Alola can only learn Ice Beam in Generation VIII onwards); you will want to use /learn POKEMON, MOVE, genNUMBER to check availability in different games.

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Learns Thunder; Cannot Learn Thunderbolt

  • Solosis
  • Duosion
  • Reuniclus

Learns Thunderbolt; Cannot Learn Thunder

  • Gastly
  • Haunter
  • Gengar
  • Sentret
  • Ralts
  • Kirlia
  • Gardevoir
  • Buneary
  • Magmortar
  • Gallade
  • Patrat
  • Lillipup
  • Herdier
  • Garbodor
  • Minccino
  • Gothita
  • Gothorita
  • Gothitelle
  • Joltik
  • Ferroseed
  • Klink
  • Klang
  • Elgyem
  • Beheeyem
  • Golurk
  • Espurr
  • Meowstic
  • Spritzee
  • Swirlix
  • Slurpuff
  • Inkay
  • Malamar
  • Skrelp
  • Amaura
  • Goomy
  • Sliggoo
  • Hoopa
  • Grubbin
  • Charjabug
  • Silvally
  • Magearna

Learns Fire Blast; Cannot Learn Flamethrower

  • None!

Learns Flamethrower; Cannot Learn Fire Blast

  • Alolan Exeggutor
  • Sentret
  • Furret
  • Electrike
  • Manectric
  • Seviper
  • Electivire
  • Watchog
  • Zoroark
  • Eelektross
  • Druddigon
  • Genesect
  • Swirlix
  • Slurpuff
  • Inkay
  • Malamar
  • Noivern
  • Silvally
  • Kommo-o

Learns Hydro Pump; Cannot Learn Surf

  • Castform
  • Volcanion
  • Rotom
  • Surskit
  • Masquerain
  • Bagon
  • Shelgon
  • Salamence

Learns Surf; Cannot Learn Hydro Pump

  • Nidoqueen
  • Nidoking
  • Poliwrath
  • Slowpoke
  • Slowbro
  • Seel
  • Dewgong
  • Krabby
  • Kingler
  • Lickitung
  • Rhydon
  • Kangaskhan
  • Tauros
  • Kabuto
  • Kabutops
  • Snorlax
  • Dratini
  • Dragonair
  • Dragonite
  • Mew
  • Sentret
  • Furret
  • Politoed
  • Wooper
  • Quagsire
  • Slowking
  • Sneasel
  • Corsola
  • Miltank
  • Tyranitar
  • Marshtomp
  • Swampert
  • Zigzagoon
  • Linoone
  • Lotad
  • Ludicolo
  • Exploud
  • Makuhita
  • Hariyama
  • Azurill
  • Aggron
  • Corphish
  • Crawdaunt
  • Feebas
  • Spheal
  • Sealeo
  • Walrein
  • Clamperl
  • Latias
  • Latios
  • Rayquaza
  • Bibarel
  • Rampardos
  • Shellos
  • Gastrodon
  • Garchomp
  • Munchlax
  • Finneon
  • Lumineon
  • Weavile
  • Lickilicky
  • Rhyperior
  • Phione
  • Manaphy
  • Arceus
  • Herdier
  • Stoutland
  • Audino
  • Basculin
  • Ducklett
  • Swanna
  • Haxorus
  • Cubchoo
  • Beartic
  • Stunfisk
  • Druddigon
  • Bouffalant
  • Hydreigon
  • Bunnelby
  • Diggersby
  • Skiddo
  • Gogoat
  • Pancham
  • Pangoro
  • Furfrou
  • Swirlix
  • Slurpuff
  • Binacle
  • Barbaracle
  • Clauncher
  • Clawitzer
  • Helioptile
  • Heliolisk
  • Bergmite
  • Avalugg
  • Mareanie
  • Toxapex
  • Dewpider
  • Araquanid
  • Wimpod
  • Golisopod
  • Silvally
  • Bruxish
  • Drampa
  • Dhelmise

Learns Blizzard; Cannot Learn Ice Beam

  • Alolan Sandshrew
  • Alolan Sandslash

Learns Ice Beam; Cannot Learn Blizzard

  • Sentret
  • Mawile
  • Gulpin
  • Swalot
  • Swablu
  • Altaria
  • Baltoy
  • Claydol
  • Latias
  • Latios
  • Deoxys
  • Buneary
  • Cresselia
  • Basculin
  • Sigilyph
  • Ducklett
  • Swanna
  • Golett
  • Golurk
  • Clauncher
  • Clawitzer
  • Wishiwashi
  • Silvally
  • Magearna

If a name is repeated, it means that that Pokemon can learn their move through more than one method, yet cannot learn the other move at all.

The formatting of this answer took more time than the actual collection of data. Thus, if you want to thank me for something, thank me for making this answer look presentable!

Hope I helped. :)
Source: The moves' respective Serebii pages.

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You really didn't need to make the answer look so presentable.
It being presentable makes it easier to read and nicer to look at. Its one of the main thing Experts do - make the place look nicer (I know indi's an editor now but that's not the point).