Depends what the hell a Picachu is. Never heard of it. :P Oh, but you do get a female Hardy-natured Pikachu that knows Surf and the useless Volt Tackle upon completing all colosseums at least once, which you obtain with the Mystery Gift feature.
[agelimit]competent competitors[/agelimit]
Ichida, the Zealous Blue Partizan
Pearl Battle Record: 105-26
Battle Style: 6v6 Lv100 Singles, No Hacks, Ubers or Legendaries

To gamingly entertain the crap out of you. Yes, I said 'gamingly.'