Do I have to file a police report in order to have a rape kit/sexual assault evidence collection exam?

No. You do not have to file a police report in order to have a sexual assault evidence collection kit performed. You can request to file an anonymous report at the hospital if you are over 18. The sexual assault evidence collection kit will remain in evidence for at least one year giving you time to decide whether or not to formally make a report and press charges against the assailant. However there is no statute to reporting a sexual assault. No matter when your sexual assault occurred, you can report it.