Frequently I am asked the above question. The answer is almost always "yes". If the police call you and request you go to their station to discuss a matter in which someone has accussed you of criminal activity, before granting the interview consult with an experienced criminal defense attorney. The police have a report that you or maybe your child has done something criminal. Their information may be incomplete or suspect and your interview will fill in the gaps in the complaining party's story.
Suppose your high school senior is accussed of meeting a girl at the local WaWa. This girl claims he assualted her at the store. There is no witness to this event. He was present at the store during the relevant time period but had no contact with this girl. If he goes to the interview and tells the police he was present at the WaWa at or close to the time of the alledged event,he immediately bolsters the girl's story that an assualt occurred and he was at the scene around the time it happened. So when the girl testifies at some future court proceeding about the assault, identifying him as the assailant, the police officer can bolster this by testifying to his admission to being at the scene of the crime. If he had not granted an interview the only evidence is her unsubstantiated testimony. Even though he may have had nothing to do with the assault,his interview places himself at the scene and therefore gives credibility to her identification of him as the assailant.