From Dunnfield Creek parking area (Worthington State Forest) to Sunfish Pond via the Appalachian Trail is about 3.7 miles. Several spur trails from Old Mine Road also reach the Appalachian Trail just north or south of Sunfish Pond. See the park's bulletin on Hiking the Gap at right (pdf file)
Through-hikers (see mileage below) will not go to the top of Mt. Tammany, but climb straight up Kittatinny Ridge to Sunfish Pond and then beyond; in all they will pass through about 22 miles of the park in New Jersey.
Backpacking is permitted according to regulations. Please link to the park bulletins at the right (pdf file) for maps and additional information and for backpacking regulations.