No. Look at the specs and system requirements here: http://www.amd.com/us/products/desktop/graphics/7000/7770/pages/radeon-7770.aspx#3.
They say the card requires 500W or better for a single card, 600W or better in crossfire. You could have researched this yourself with a simple google query.
I find this to be true with about 99% of the questions asked on these forums anymore. I dont understand the process of signing up here to ask a simple question that has been answered a 100 times already with a quick google search. Dont understand it at all.