Is it possible? Probably. The Cell CPU the PS3 uses is technically a PPC CPU, which Zdoom did see a port for, so in theory, you could get it running.
However, it'd require a bit more work than just compiling the PPC version, since it would need to be designed specifically to work with the PS3's other hardware. Which most people just can't be bothered to do, since GZDoom kinda just runs on any PC made in the last 10 ish+ years and the PRBoom port is "good enough" for quick Doom sessions on the PS3.