With the dwarf cichlids, you could.
However with larger cichlids, the Cory cats will not be a good choice. They would be picked on and harassed especially after the cichlids set up territory. A big factor though is tank size and also if there is plenty of hiding places the cories could fit into that the cichlids can't (and therefore can't claim as territory). While it may be possible, it would be highly unlikely with the larger cichlids.
Please share your tank info and what fish in particular you're thinking of so we could help better