Is it possible to find Plano-Concave (PCV) or Double Concave (DCV) lenses where the diameter is greater than the focal length?

The Edmund Optics® catalog contains lenses whose focal lengths are at least equal to or greater than their diameters. The reason for this is that smaller focal lengths with small diameter lenses create a very curved surface with thin walls, which becomes difficult to manufacture within the specifications EO provides for our lenses, namely our TECHSPEC® lenses.