A victim can push or criminal charges to be dropped, but it's the State's case. The DA's Office thinks twice before just listening to what a Victim wants to do with a case, so that they make sure that the Victim is not being pressured by someone, especially the Defendant, to try to drop the charges. This situation happens often in cases involving assault on a female. Even if a victim clearly states that they do not want to proceed, the State can subpoena them to testify.
It's not often when the State goes against their own witnesses' requests, and it does happen.