Yeah, with an i3 it's gonna be pretty hard pressed to run it. i5 or i7 is what you want. 2 GB of ram is pretty low too. I mean you could try it but I can't guarantee that it will work.
From what I've heard Starcraft is dying competitively. It's not really the game it once was. Though if you don't mind that, it's actually a really good and intellectually challenging game.