Fiddler On The Roof

I was wondering, in the Broadway production, are there any chorus roles available for boys 13-16?

Unless you are a 13-16 year old that can play a child's part (8-12 maybe), Broadway shows tend to hire actors over the age of 18 that just look young to play roles in the age range. It is much easier to work with legal adults as far as the union goes and work hours, pay scales, etc. etc. Generally if a Broadway show can cast someone over 18 to play a teenage part, they will, unless the role absolutely has to be a child (roles like Lil' Inez in Hairspray or JoJo in Seussical...)