Yes, you absolutely can. Some restaurants stay open later than the park. The times will be noted on the times & info guide, but obviously, you can tell this by being able to book an ADR past park closing time. For example, we had a 7:10pm ADR for Sci-Fi last week when the park closed at 7. Worked out great. Got to ride a couple of last minute rides and then have a nice dinner before heading out. Lots of other people were leaving at the time we were, as a couple of restaurants were open late. There were a couple of stores still open that I saw, and the wheelchair/stroller return was open. There were security guards out directing you towards the exit, but it wasn't like you were being hurried out. We stopped to take pictures with the nearly empty park. It was cool.