No, you need to get yourself a fightstick for it -- that is what everyone on xbox is playing it on too bc you really need six buttons instead of 4. I just got it for xbox 360 and got the madcatz SF4 tournament edition fight stick. They work on PC's too via. USB on any 360 controller compatible game.
ps. I do use a 360 controller on my pc for games like Prototype, Fallout 3, etc. I have the wireless usb dongle - works like a charm. They do have a faulty fuse in them that burns out, but I cracked it open and soldered the bridge shut (there are instructions floating around online) and it hasn't had a problem ever since.