Absolutely. My dude has that look, especially when he's trimmed his facial hair down and has a big smile on his face, and the dimples show. He looks pretty tough and has this hard look in his eyes most of the time, due in part to having a rough life I think. But when something really makes him smile, you can see it in his eyes and his face lights up like a little boy. I love it.
Bieber doesn't have a baby face, he has a female face.
I do like baby faces on guys...it can look quite appealing. I myself look younger, so a baby face boyfriend suites me perfectly. If you're feeling a bit insecure, just grow a little bit of a beard, that can be very attractive as well! But in a very different way. =)