Yes, you can camp overnight in the New Forest, but only at designated campsites. The New Forest National Park in the United Kingdom offers a variety of camping options, including tent camping, caravan sites, and glamping. There are several campsites managed by the Camping in the Forest organization, which is a partnership between the Forestry Commission and The Camping and Caravanning Club. These campsites include Hollands Wood, Ocknell, and Ashurst, among others. It's important to note that wild camping (camping outside of designated areas) is not permitted in the New Forest, and you should always camp at an authorized site to help protect the environment and wildlife.