Thats apple and pears. You cant compare waste heat from an asic to waste heat at a few hundres degrees.
My answer is no. It seems to be impossible to me as the temperature gradient is to small. Stirling engines failed for decades to gain mechanical power from low temperature waste heat. Imagine a stirling engine powered by waste heat which drives the compressor of a heat pump. Thermal compression is nearly the same, it works if you provide high temperature waste heat, but not with asics.
What you could do is to use an electrical powered heat pump to pump the asic waste heat to highter temperature levels e.g. for hot water, with the benefit of having a two phase immersion cooling for your asic chips.