Yes, but the approach is different between locally hosted vs SaaS systems. SaaS is the easiest way to accomplish this. Since the database is located in a secure centralized location on the internet you will only require a computer and high speed internet service to access the same data that is used at the park.
With locally hosted systems, the remote user would have to gain control of a workstation at the park using a special service like “Log Me In”. This would tie up the park computer while the remote user worked on the system. This method would only be practical after hours or if the park workstation was not needed all the time.