Yes. Including private parties that can set rules that no one can launch, land, control a UAV from their property.
e.g., Here in Idaho I have state statues and county statutes that affect my flying.
You should also be aware that the FAA has a tendency to prevent flight around natural habitat - especially places where endangered species are known to be. This goes for UAV and manned aircraft. There are islands on the river near me that have flight restrictions because they are such preserves.
I've linked a small note on the local sectional. While you can read this as flight isn't legally restricted, you become a pariah if you do ignore the request.
And there is this:
flight at or above 2000' agl minimums equates to no drones allowed
7-4-6. Flights Over Charted U.S. Wildlife Refuges, Parks, and Forest Service Areas
NOTE-
FAA Advisory Circular AC 91-36, Visual Flight Rules (VFR) Flight Near Noise-Sensitive Areas, defines the surface of a national park area (including parks, forests, primitive areas, wilderness areas, recreational areas, national seashores, national monuments, national lakeshores, and national wildlife refuge and range areas) as: the highest terrain within 2,000 feet laterally of the route of flight, or the upper-most rim of a canyon or valley.
c. Federal statutes prohibit certain types of flight activity and/or provide altitude restrictions over designated U.S. Wildlife Refuges, Parks, and Forest Service Areas. These designated areas, for example: Boundary Waters Canoe Wilderness Areas, Minnesota; Haleakala National Park, Hawaii; Yosemite National Park, California; and Grand Canyon National Park, Arizona, are charted on Sectional Charts.