Yep! Check out this doc and let us know if you have any questions/feedback: https://aka.ms/vso-docs/vscode/self-hosted.
I can register my local VSCode just fine. When I connect to a remote ssh connection, and try to register that environment, I get a prompt telling me "Failed to register local environment: Install the Azure Account extension". When I look up that extension, I can install it in the SSH environment, but I get the same error still.
"Presently, running the "Register" command via a full instance of VS Code is the only supported flow, but the scenario you described of hosting a server without a GUI is on the product roadmap."