Does low fps = solid ping?

Hi all!!!
I mean when I play the game with my VAIO(32 bit) lab, I get 125 fps or higher and my ping spikes b/n 60 - 200 with an average of 85-90, but when I play the game using my bro lab which is TOSHIBA(64 bit), I get solid 60 ping that rarely spike (65 max) though its fps is horrible (10-50). My labs hard disk/CPU/graphics is higher/better than that of TOSHIBA So ... Title? :)

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