Of course. Camping with an air mattress is not only possible, but it's a great idea. One of the major benefits of camping with an air mattress is that you can find some hot spots outside of your tent, and high onto stones or warmed up grass for awhile before bedding down on the more typical cold ground. You'll end up having a much nicer sleep that way, because pressure points won't bother you as much. Air mattresses are also more comfortable to lay on than sleeping mats made out of canvas or foam rubber.