is there a pokemon game for the psp?

Best thing you can do is hack your PSP and play the Gba versions of Pokemon.

No there is not, pokemon is owned by nintendo and the psp is made by Sony

no, Pokemon is a Nintendo owned franchise

You can't since it's owned by Nintendo so it can't be cross-developed for any other company; in your situation, that's Sony.

You can also buy a Gameboy since it has a wide array of pokemon games and can be bought now for a pretty decent price but buying the actual game can be a more bit expensive ranging from $10-$20. You could also purchase a DSi or DS if you wanted to play Diamond, Pearl, etc.
There's also emulators you could use too.

No, all Pokémon games are published by Nintendo only. But PSP is made by Sony.

No, blah blah it is nintendo blah blah sony blah blah. I'm adding nothing to this, but answering anyways, so that I can rack up mad points and let everybody know how good I am at Y!A.

(this is me making fun of every answer after the first one, with the exception of the hack your psp suggestion, which DID add something).

Nope, Pokemon is Nintendo only.