An hour east of Orlando and Disney, thirty minutes south of Kennedy Space Center, fifteen minutes south of Port Canaveral and world famous Cocoa Beach, Indian Harbour Beach is a great starting point for just about any Florida adventure.. And even as you enjoy the small-town feel of the area, you will still have the convenience of shopping at large malls in Melbourne (fifteen minutes), Merritt Island (twenty minutes) and Viera (twenty minutes), as well as nearby pharmacies and grocery stores.