No, but in real life people don't just go "no lol" to being fired and keep doing their job so we're kind of talking about different circumstances here.
Also there is very little one can do to say, reclaim gear that no longer legally belongs to that person without critting them, because the person can just move away and cancel the doafter. If the head of a department cannot use force to repossess their department's gear, it means they have no actual power to enforce any job terminations if Security is busy or just does not care about enforcing it.
Not to mention that escalation rules in the game are definitely more lenient than real life expectations, because the game is larger-than-life in that aspect.