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It's a kind of a joke. The stereotype is that artists are tormented souls--that they draw their art from their conflicts with the strictures of their lives, their conflicts between their passions and their creative urges and the demands that society puts on them, that that conflict pushes them into new and different means of expression. There is also the stereotype that the teenage years are also times of conflict as you break away from your family and establish your own identity, that your parents embarrass you with their old-fashioned ways; that your hormones start to kick in and drive you to wild, irresponsible, crazy behavior. So you don't have to suffer more to create art, you've already suffered just by getting thru your teens.

It's basically a fairly lame joke, as jokes go.