On a High-End Desktop Chip? YES! Intel made such a cooler recently[1]. But on mobile/low power devices it might be worthwhile to have them run a little warmer (within spec) but take the heat energy back via a peltier element. Would be interesting to see such an element directly on die feeding back into the chip directly, sort of an electric rebreather for a chip.
[1] https://www.intel.com/content/www/us/en/support/articles/000...