You don't seem to get an answer here, so I'm writing this even though I am not a lawyer and am not in your state. My husband's decree, and other's I have heard of, state that my husband will take his daughter to her extra-curricular activities during his time. It says nothing about who may sign her up for activities, and when it was written, it was intended to make certain that mom did not withhold visitation for fear that dad would not take child to her school activities (a fear completely without base or history, just a way for mom to withhold visitation). It was only poor lawyering that allowed the order to be worded as it was, which guarantees that my husband must take his daughter to any activities regardless of any plans he might have with his family.
So, yes, it is possible that a judge would order that a child is able to participate in her activities, with or without make-up time.