Well, if you want to become friends, I\d say yes; try not to think about what others might think - it might be the opposite: your life really isn't their top priority.
If you want to be with him (Or feel you might feel this way), just talk more: get close to each other (as friends) and - there you go, a very close friend.
As you two are already close (plus you referred to him as a girl) means that you have already succeeded a very powerful friendship - just continue I would: let life guide your steps. If you want to go out with him, just say the words; your already strong relationship is a fantastic basis for love.
:)