Apple Watch to approve Safari Password autofill?

I have dual monitor setup, with the MacBook Pro laptop closed, thus I have no access to the built-in keyboard, thus the Touch ID fingerprint reader.

I use my Apple Watch to unlock the Mac, and approve some requests (like unlock the changes in system preferences). That's all good. The only thing missing is the ability to auto fill passwords on Safari with Touch ID. Is there a way to do this?

thanks!