PokéBase - Pokémon Q&A
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Including all gens so far.

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2 Answers

3 votes
 
Best answer

Yes. If you have all 32 boxes, they have 960 slots in total, which is more than enough space (there are 807 Pokémon in USUM).

Source: Experience

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I thought you had 99 boxes in every game up to sword and shield
I remember only being able to have 32 in Pearl, not sure about Gen 7 though
Since XY/ORAS, it's been 32 boxes (excluding LGPE).
oh cool Metroid
3 votes

Yes. There were 807 total Pokemon in US/UM, and the total capacity of all of the PC boxes is 960.

Source

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Thanks! Upvoted for the source!