Can I build a gaming pc for £600/£650?

I'd mostly be playing modded minecraft but would like to play dayz and other similar games at some point.

Use this to build your own
https://uk.pcpartpicker.com/parts/partlist/

or try this site
http://www.palicomp.co.uk/gaming-pcs/INTEL-Haswell-i5-Commander.html
intel pc £649

or amd
http://www.palicomp.co.uk/gaming-pcs/AMD-8Core-Sniper-Elite-2-Gamer.html
£649