There is no minimum age to start trapping species classified as furbearers, or predatory and unprotected. Trapping can be a highly rewarding mentoring experience for older trappers to teach youngsters. There are also Trapping Education Courses that are offered when there is enough demand. This is a voluntary course and not required but a great way to start a youngster.
You do need to be old enough to buy a wolf trapping tag (age 12) to start trapping wolves.