No, but it doesn't mean you can't.
It's actually a personal message, not a private one. Anyway, we have no rules or regulations reguarding personal messages being posted, unless it includes stuff we could use to attack people(Phone numbers, passwords on other sites, ect.). This one contains nothing beyond a stupid question, and as such there is no harm done beyond exposure of a dumb question that makes the writer look clueless for ten seconds before everyone forgets his name again.
Ok then... you do realise the meaning of the word
personal, right?
Just because there isn't a law against throwing a big pillow at a random person walking by your house doesn't mean you should do it and just say /carebear.