Yeah, there are a bunch - the trick is finding ones that we can keep in our tanks, as many of the critters that would fit the criteria are from super deep water zones in the ocean.
Light is basically only needed for 1 - photosynthesis, and 2 - sight. So, the trick is finding critters that are non-photosynthetic and either don't need to see at all or are particularly well adapted to seeing in the dark (if it's pitch black, critters that are adapted to seeing in the dark generally won't work, but there are a few exceptions).
NPS corals (including NPS gorgonians, LPS, etc.), a wide range of filter feeders (bryozoans, feather dusters, bivalves, sponges, tunicates, etc.), and certain fish (especially ones like flashlight fish and pineapple fish, which are bioluminescent, relatively coldwater fish) would all work as long as the space is setup properly for them and they're offered enough proper food. A lot of mobile inverts would be out with no light, but a few might work. Plenty of inverts and fish (particularly the nocturnal species, which typically have much larger eyes like Squirrelfish and Soldierfish) would work fine with just a little bit of light.
What food would be needed depends on the species, but basically you'd need bacteria, phytoplankton, pods (copepods, rotifers, brine shrimp, etc.), powdered fish feed, and/or regular fish feed.