No. The Palace on Wheels train does not have a dedicated gym facility on board. The train primarily focuses on providing a luxurious and comfortable experience with well-appointed cabins, dining cars, lounges, and other amenities. However, it's important to note that the Palace on Wheels offers various other facilities and services to enhance your journey. These may include spa and wellness services, where you can indulge in relaxing treatments and therapies.  Additionally, the train stops at different destinations along the itinerary, providing opportunities for outdoor activities, sightseeing, and exploration, which can be considered as a form of physical activity.