Yes, you can camp overnight in Big Bend. There are several campgrounds available for tent and RV camping in Big Bend National Park, such as Chisos Basin, Cottonwood, and Rio Grande Village campgrounds. Additionally, Big Bend Ranch State Park offers its own camping options. You can find more information and book a campsite at Hipcamp. For public parks and campgrounds, you cannot make reservations on Hipcamp, but you can learn about them.