No, if you want a permanent ban you have to earn it, not ask for it.
Is this a good idea?
I mean, if he really wants to get banned, he will probably create lots of spamming posts and unsolicited PMs 5 days later, which will cause more problem IMO.
Permabanning him would just play into his whole "I'm being censored and oppressed help meeeeee" shtick. Besides he's just having a temper tantrum, he'll calm down and forget about it five minutes after his ban expires.