Well, maybe. Not the whole chip though, just the aluminum covering. Covering the whole chip wouldnt be too much of a help, since the material on the side of the chip is a PCB and they dont conduct heat good enough to make for better cooling. But to make for best cooling, you want to seal every little nook and cranny between the processor and hsf, and that would just not be easy by any means if you could fit the aluminum surface into the HSF. but a good idea.