To my knowledge, this has never happened. Once the official team is named, if someone gets hurt they just adjust with the injury. Typically the girl still does appearances, but doesn't perform.
I agree with
@oncecoolcoachnowmom with there always being a few who make you wonder how they got on the team, but knowing the team selected and after watching the blood bath---I think they missed about 4 others to cut as well. This years rookie class, while large, is probably the most uninspiring in the past few seasons. With the exceptions of Holly P., I haven't fallen in love with any of them.