Yes, there is a way to run it on Mac, but it involves installing another application that can emulate Windows apps. I have checked the website, and the software is compatible only with Windows operating system.
To install it on your Mac, you will need the help of Wine Bottler or Parallels Desktop. Wine Bottler installs the app on Mac without other configuration, while Parallels Desktop installs the full operating system that runs in a window. However, I recommend the second way because if the DoorKing requires drivers, Wine Bottler won't have the possibility of emulating them.
For additional information contact the actual developers using the following page: http://www.doorking.com/contact