Is it possible to allow other members of my
Forum the opportunity to reward those who
share their knowledge by giving Reputation
Please see attachment.
I'm sorry but I don't know what points are these. if you mean myCRED Points, you should ask this question to myCRED plugin developer. I don't know if User can re-award own points to other users. It doesn't matter you use wpForo or not, this question is related to WP User System and myCRED Points.