Yes. MLC's inference engine runs on WebGPU/WASM.
https://github.com/mlc-ai/web-llm-chat
https://github.com/mlc-ai/web-llm-chat
Neither FireFox nor Chromium support WebGPU on Linux. Maybe behind flags. But before using a technology, I would wait until it is available in the default config.
Lets see when browsers will bring WebGPU to Linux.