There are a lot of potential security problems with setting something like what you describe, but it is very possible.

If you wanted, you could run https://github.com/huashengdun/webssh on the sever you are trying to access, or something equivalent to a Boston server. This is something you should definitely host with TLS, and some form of authentication.

You could use something like this: https://github.com/PHPAuth/PHPAuth You could also use Okta.