Never say never, but the DOM and JavaScript environment relies pretty heavily on garbage collection. WASM is inherently not garbage collected, and that makes it really hard to share data between the environments, so I'd say that it is unlikely.
[0]: https://github.com/WebAssembly/gc/blob/main/proposals/gc/Ove...
It is a good way to get memory leaks, but a lot of websites already have those.