There are RISC-V based zero-knowledge virtual machines, to which a GCC version can be compiled. So this should be possible, although probably very slow, maybe a thousand times slower than a normal GCC execution.
Risc Zero runs at about 500hz on high-end desktop hardware. They're working on speed ups though. (Source: their presentation in Brussels in July)
That was 500 KHz, and the latest versions are at 1MHz, so still 1000 times slower than a 1Ghz machine, but it’s easy to parallelize the workload, so it’s really mostly a cost of computation issue.