Spammers and Visitor Messages

Is there a way we could prevent new users from posting “visitor messages” in their user profile until they have a certain number of posts? It’s a bit more annoying dealing with them than just deleting and reporting spammers…

http://www.ww2incolor.com/forum/member.php/32328-Burnstheran?tab=visitor_messaging

That would be helpful, I get several of those every week.