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.