No definitely not flatworms. Here's a picture. Green star polyps in the background for reference. They started out tiny and slowly got larger. It only extends 1/2-3/4 inch in to the sand bed and is only on the front glass - not on the sides. The tank is not near a light source, but it's one open room away from a glass door (we keep the blinds closed).
They started small and keep getting larger. Just a note but this tank was moved and all the sand mixed up in the move about a month ago. None of this stuff is anywhere else in the tank, on the top of the sand, rocks, or anything.
-Catherine