PokéBase - Pokémon Q&A
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Beacuse all Pokemon can be Shiny.There are just some Shiny Pokemon that cannot be obtained legally.

And like I said before :

Unobtainable Shiny Pokémon

In most generations there are a few Pokémon that cannot be obtained Shiny without cheating or glitches, due to either being distribution-exclusive without an in-game location or, in Generation V, being programmed so that they cannot be Shiny in the wild.

Generation II
Mew
Unown forms other than I and V

Generation III
Celebi

Generation IV
Celebi
Spiky-eared Pichu

Generation V
Celebi
Victini
Reshiram
Zekrom
Keldeo
Meloetta
Genesect

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No Problem.Anytime
Also adding, if one were to hack the game to have a Pokemon Shiny, they would need a Shiny sprite programmed.