work... maybe, but i am leaning towards a NO since even if it will, it will probably be too slow.
the gpu is bad, the cpu is ok during it's time. maybe if you can oc it it will help somewhat.
the gpu is really not for gaming. by naming convention, the higher the model number the better the gpu.
what you have belongs to the 600 series. 690 being the top, 680, then 670.. going lower..
650Ti (boost) is decent. but you have a 620, so do not expect much.
next time when you buy, i would suggest to get at least the x50 (750, 950, etc) if budget permits. if not, then it is what it is