Can you catch mewtwo in B/W2?

Question

I want it.

Answer 1

Unfortunately the only way you can legitimately get Mewtwo in Pokemon Black2/White2 is through Poke Transfer, transferring the one in HeartGold or the Event one from Pokemon Black/White or by trading someone with one
Source here

Answer 2

In-game: No.

You can trade it over from an earlier game.
Get it over GTS (good luck with that).
Hack it.