Heck, in a couple of continuities, Shane gets a Pikachu who can use ice-type moves (and which he'll usually name "Raichu") and Kim Tyranto (Shane's fictional girlfriend who's a princess of a planet nation called "Draconia") a Pikachu that can use fire-type moves.
It does?

So basically, Kim and Raichu are everywhere? D:
The Purple Karjam (one of my characters in the games) has a Zoroark named Loki that was often used to retcon away stuff. (Although nowadays, he doesn't appear often.)
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Wait.
He does?

Wait, but Pikachu can't use Fire or Ice-type moves... 
Normally, that is.
Remember the Surfing Pikachu that can be optained for nearly any gen?
Pikachu can't naturally learn Surf.
Wait, WHAT?

THAT EXISTS?!

Oh, and Yui, your board has been created.