Yes they do.
TCM is a unit of Warner.
Warner owns a huge library of these films.
Conclusion: They own the films.Yes they can.They are their own providers.
From Wikipedia1. Turner Classic Movies (TCM) is a movie-oriented cable television channel, owned by the Turner Broadcasting System subsidiary of Time Warner, featuring commercial-free classic movies, mostly from the Turner Entertainment film library, which comprises mainly (pre-1986 MGM, RKO) and pre-1948 Warner Bros....