I was curious, is it possible that an account can be listed or set as a non recoverable account? I have heard from different sources it can, and can't some saying a JMod has made some as such in the past. I'm wondering because I had an account last November compromised in a way I have no clue how and the bank pin bypassed even though I had the 7 day pin delay set. Since then I have made a new account and been working on it, but wanted to know if that was a possibility for the old account to have it set as unrecoverable in the event that happened again.
You can attempt to recover an account without logging into it, so it is impossible to make an account 'unrecoverable' because you can't stop someone submitting a recovery web form from a not logged in state. Common sense account security, especially having Auth set, should stop malicious recovery. You can disable an account, and that will block all recovery, but that's not the solution you are asking for.