Cockpit auth by SSH key

I have a Fedora 36 Kinoite machine with cockpit enabled and it works great! I’ve noticed that it’s possible to use ssh keys to authenticate into other boxes from cockpit once already authenticated in a cockpit instance. By default, the initial cockpit web authentication, however, is by user/password.

Since this grants a similar level of access to ssh, is it possible to initially authenticate to cockpit via ssh key instead of user password in the cockpit web interface?