(1) a target server needs to run "tailscale up --ssh" to enable the SSH server
(2) your Tailscale ACLs have to permit it. Our default, if you've never set your ACLs (as is usually the case for personal users), is that you're allowed to SSH to your own untagged devices only.
For an org that's already using ACLs, you won't have any SSH rules defined and thus nobody in your org can enable the SSH server. (Or rather, they can enable it but nobody can connect to it.)
If your concern an org that's using the default "all packets are allowed" ACLs?