Can a 13/14th gen chip gone bad damage the motherboard?

My 13900k seemingly died, so bought a used 13700k to get by. That also acted the same.

I suspected my MB so borrowed another MB (with other RAM too) however neither CPU would work. In fact lights and fans would power but nothing else, no display etc, whereas on my MB it would constantly reboot, power off, BSOD, etc.

So it's hard to be sure what is dead. Either/both CPU and/or MB, or everything.

I can confirm my PSU, GPU and drives are all good, but that's about it :(