Nolle prosse simply means the state has chosen not to prosecute the case.
Yes, they can refile if they want but that seldom happens.
This is different than a dismissal with prejudice which does not allow a case to be refiled. It is a dismissal without prejudice which means it can be refiled.
Usually this happens with minor cases that are not worth prosecuting or in traffic equipment cases where the issue is corrected. Also in cases where the state simply does not have enough evidence but that is unusual.

