Yes, SSH worked for me with Big Sur. You need to check a couple places to make sure it is enabled. First, turn on the "Remote Login" feature in the Sharing page in System Preferences. After that, make sure the Firewall configuration allows incoming connections to that feature. That's under Security & Privacy -> Firewall. Then you'd need to configure the authorized_keys file under the ~/.ssh directory. That file probably needs to have the permissions 0600 to be used.