Can a child request cancellation of court appointed visitations with a grandparent and if so, at what age?

I have guardianship of my 11 yr old grandaughter. She was always allowed to visit with her paternal grandmother. However, when she became old enough to plays sports, go to birthday parties, etc. her she was not always available to spend every weekend with her grandmother. Instead of trying to work out a compromise, the grandmother took me to court & was granted once a month visits. My granddaughter absolutely hates these visits and is anxious for them to be over. Is there an age when she can go back to court & have visitations cancelled and instead have voluntary visits when time allows?