Yup. For example, one can camp > 1/4 mile from shelters/huts and more than 200ft away from of a body of water/trails/trailheads just about anywhere in the White Mountain National Forest in NH and Maine. Below alpine zone of course, except for winter (where you camp on greater than 2 feet of snow, but not many folks are that adventurous :)
https://www.fs.usda.gov/Internet/FSE_DOCUMENTS/stelprdb53637...