Yes, you can stay overnight at Isle Royale National Park, which is located in Lake Superior in Michigan. The park offers a variety of camping options, including 36 designated wilderness campgrounds for tent camping. Some campgrounds have shelters, while others only have tent sites. Keep in mind that permits are required for overnight stays, and you must follow the park's regulations for camping. You can learn more about camping in Isle Royale National Park and make reservations through the National Park Service website. If you're looking for other camping options nearby, check out Bois Blanc Island in Michigan.