Well - I never did, but my son did!
He really, really wanted to check out a book in the library above his reading level, but was told "no." I had no luck shifting them. Then one day, DS (then 7) picked up the book and asked the librarian if he could read him a chapter. They went in the office, and came out with the book checked out to DS. Very soon after, the classroom teacher tumbled, too, and he is now on the "no level restrictions" list.
An important thing here, I think, was that I was absolutely uninvolved. Where this initiative came from in my son, I have no idea. But I do think if your child can advocate for herself, that might make a difference.
FWIW - I'm not saying she should have to. She shouldn't at this age. But if she can, it might work.
Sue