According to the specs here http://www.swtor.com/info/faq#171060 you should be able to run it. May not be pretty, but low settings to start out and see what you can manage. Depending on whether you're running XP, Vista or 7 you should have plenty of RAM there though too.
The CPU just passes but since it would be a dedicated graphics card it should be fine. I'm running with an ATI Radeon HD 4350 and I can have everything on High (except the Shadow Quality being Low) on 1280x800 (I think, can't check, patching the Test Server atm)