I am fairly certain the answer is no. Unless SB has a custom XenForo add-on to provide that functionality.I'll ask.
If you have access to a forum, activity in it shows up in your new posts feed.
But: it is all based upon what content you have access to. I have a client that used a custom add-on that filters content based upon thread pre fixes ( think "For Sale" on SB). They serve farmers in Africa and the Chicken people are not interested in Goat threads. The forums on their board are geographically based with threads segregated by thread prefix topics.