I'm not sure there's much of an appetite for this. Quantum computers are already at fidelities a decent amount above 95% for both 1 and 2 qubit gates. People are focusing more on bringing hardware error rates down. I don't think a scheme like this is impossible though, just unlikely to meet resolution requirements in the next 10 years.

@JonathanShi thanks for the help in developing this question, let me know if there are any issues.