Does a telephoto lens give less depth of field than a wide angle lens?

Yes, all other things being equal. The longer the focal length the shallower the depth of field. It also depends on the distance from the lens to the subject and the aperture used to create the photo. For a given lens, the depth of field increases as the subject distance increases. For a given distance, depth of field increases as the aperture gets smaller (e.g. F4 less, F8 more depth).