My startup is building a platform exactly for this - to enable developers to make their native games to be browser-compatible utilizing WebAssembly and WebGPU.
It also gets more interesting when you consider that the world is increasingly moving to ARM. Take Qualcomm's new ARM chips for example; they're competitive with Apple Silicon already. WASM/WebGPU represents a straightforward way to convert x86 games to run on these new chips.
Below is a blog post about our platform-as-a-service and tools, and our current development focus to support Unreal Engine 5 in WebGPU/WASM: