Certainly. I have the HD 7770 myself and that thing works like a charm and the price was great. I automatically assume that you're getting the card from Newegg, I got the Sapphire edition on Newegg for about $140.00, and I'm beyond impressed with it.
Also, the cooling on this version of the card is great.
If you order today you can buy a gtx 480 which blows the radeon 7770 for $160!