Yes, there is a possible way of integration of BuddyPress and bbpress because along with the options of the profile, activity, member and group bbpress provides a Forum, Topics and Replies option.
when you install both BuddyPress and bbpress together there will be no such effect over the site. But there is a new Post Type is added on the Dashboard Named Forum, Topics and Replies.
Here are the options after activating bbpress
Here are the options for BuddyPress