Use of SetFit within the browser

How feasible would it be to use a SetFit model within the browser?

In browser use would be really helpful as classifying text locally could shortcut lots of tasks which currently need a server round-trip in various text interactions with user input text.

I see that ONNX models can be created, so perhaps there's a way to use the onnx runtime for web or perhaps transformers.js but I'm unsure about how one would start on that (it's getting a bit beyond my experience!)