The komodo liveaboard at the Komodo National Park could still be remote in a majority the areas. You would be covering a major part on your trip. Therefore, the medical facilities have been limited. In order to provide you with a rough idea, evacuation might take 12-24 hours to the nearest major hospital in Bali.
They would require any and all medical questions along with various kinds of concerns addressed and cleared prior to your arrival. It would be pertinent to mention that the staff and the local doctors may not be qualified on deciding whether an individual has been deemed fit to dive.