Green River golf course has a community pond on it.
Wasatch Mountain is a state park. and here is an interesting "Rule" I found on the state park website.
"Plants, Animals and Rocks – All plants, animals, minerals and other natural features in state parks are protected. It is unlawful to hassle, remove, alter or destroy them."
That would make fishing at any state park against the rules, parks like Jordonelle, Rockport, East Canyon....
Now, if that rule does not make fishing at those parks illegal I would think fishing at Wasatch would be legal too. Although I have never seen a fish in the ponds or the streams while golfing there.