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Not presently - browsers prevent access to ports like SMTP, telnet, SSH[0]. Which you definitely want by default - you don't want a random website to be able to access services like that from your machine.

[0]: https://src.chromium.org/viewvc/chrome/trunk/src/net/base/ne...

There are things like it for sure:

https://tailscale.com/blog/ssh-console/

https://twitter.com/bradfitz/status/1585678043515084800?lang...

https://leaningtech.com/webvm-virtual-machine-with-networkin...

I know, I was thinking specifically for this project.

Maybe Xpra would work?

Xpra doesn't have a browser client as far as I can tell