I am surprised there aren't already some chip for it, or is there ?

Something based on RF-energy harvesting, you beam it with radio waves, it uses the energy to take a pressure measurement and send you back the result, along with the id of the bolt. And you inspect all your factory bolts in a matter of seconds, and everything is nicely logged, even those hard to inspect bolts.

To measure the pressure either some piezo-resistance, or some capacive-sensing between two washer separated by a squeezie dielectric (Could a FR4 pcb-washer hold the pressure ?), or an integrated MEMS-pressure sensor.

If your technician needs to tighten the bolt, he has to get close so he can transmit more RF energy so you can even have a led, that could turn on when the pressure is right.