Could it be possible to make a cryptosystem where messages can be decrypted either with the recipient key, or by sequentially applying say, 100 different backdo

Could it be possible to make a cryptosystem where messages can be decrypted either with the recipient key, or by sequentially applying say, 100 different backdoor keys, such that the different backdoor keys could be stored on different machines without ever being present on the same machine? If you increase the number of backdoor keys needed to decrypt by enough, and have these keys be stored only on hardware that is meant to make it infeasible to extract the key from it, and if these machines are distributed among a sufficiently large and varied group, maybe that could work as reasonable oversight to prevent the backdoor from being used outside of select cases? Edit: to be clear, I don’t want this. Just trying to map out what positions could reasonably be held / what options there are.