you did not provide enough details such as resolution, which games, etcetera...
however in general i would say no.
on 1080p you would be looking at low or medium on games like bf4 at best but you might run medium on high on non-graphically intensive titles.
if you want to game on high for a budget...
for about $650 you can build:
fx8320 cpu
970 chipset mobo
2x4gb 1600mhz/cas9 ram
1tb hdd
r9-270x gpu
win7 os
cheap case
decent 450-550w psu
which can play games like bf4 on high as well as most other A+ rated titles.