no you cant,the only way you can get pickachu is by transfering in from pokemon diamond,pearl or platinum
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You can find Pikachu in the dreamworld, but not in the regular game.
You cannot find Pikachu during normal gameplay in Black/White. Sorry!
Find a Pikachu on red or blue, find the surfing hm, teach it surf, trade pikachu with another pokemon, and you have a surfing pikachu.
You will need to trade for it from Pokemon Black or White to get Pikachu. It cannot be found in the wild.
You can find a Pikachu in Pokemon Pearl in the Pokemon Mansion Trophy Garden. It is in the Backyard. I hope this helped. Good luck on finding Pikachu! :)