It's possible, but you'd be better off getting a better CPU like an FX6300 if you're going to be getting a higher end GPU. I don't know how the HD 7770 would compare to dual graphics though.
As Vortex states if you are thinking and have the spondulis to get a good graphics card you will be better off moving into a CPU for example the AMD X4 955 Black Edition. The APU system is a really good ecosystem in the low end if you cannot afford a seperate graphics card. Question, do you already have the A10? What's are we dealing with?