Wasm doesn't have one yet, but it's a future extension to to spec.
You can, of course, compile your GC in today, and it will work. Wasm's integrated support will mean re-using the existing GC, which means smaller code size.
Side note: most people thought this would be a precursor to DOM support, but the new "host bindings" proposal opens up DOM support without needing GC support, and many people believe that now the former will land before the latter.
"the WASM GC" only exists as a proposal, and proposals can change before they land. I don't know enough about it to say, and even if I did, it might be invalid by the time things are actually accepted.
You can, of course, compile your GC in today, and it will work. Wasm's integrated support will mean re-using the existing GC, which means smaller code size.
Side note: most people thought this would be a precursor to DOM support, but the new "host bindings" proposal opens up DOM support without needing GC support, and many people believe that now the former will land before the latter.