Can a computer virus kill the CPU?

Hi.

Consider a hypothetical computer virus that would cause a CPU to
overheat and burn up. Is this possible? Is it possible, through
software, to get a CPU to overclock so far and the cooling fans to shut
off completely, until it bursts? I've heard that modern CPUs can be
overclocked through the BIOS, so couldn't a virus theoretically access
this and nuke the system? Worst case scenario the thing actually
catches fire. I've seen various virus hoaxes that talk about computer
viruses damaging hardware, and various FAQs and reports talking about
computer viruses not being able to do that and that any warning
discussing a virus proporting to do such a thing is a hoax. But now I'm
not so sure anymore, considering the ominous discovery in the BIOS...

Is it possible that we may see such a virus or worm in the future?
Should BIOS overclocking be removed from computers?

.

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