Is there a way to reverse the association via properties? No, only by deleting the original association and creating a new association. As you also state.
Reading your comment, I think you are trying to draw an association to module System. Correct? In module System you cannot make any change and as a result System/User does not allow a *-1 nore a 1-1 association. Only a 1-* association from System.User to any other entity outside of module System.