If you mean compile Dart to WASM, leveraging WasmGC, yes that's being worked on a prototype has been available for months now:
- https://docs.flutter.dev/platform-integration/web/wasm.
- https://flutterweb-wasm.web.app/
If you mean integrate the Dart runtime into browsers...that ship sailed a long time ago. Wasm is a more flexible way to accomplish that, amongst other reasons.