It really depends on the type of lights you are using. NO (no output) lighting, PC (power complact) lighting, or VHO (Very high output) lighting. Which one would it be?
To answer your question, more than likely your lighting will be good enough. Button, and green star polyps usually don't require intence lighting, and usually do well under a mildly lit aquarium. I personally wouldn't keep these corals under NO lighting, for the fact that they will probably not thrive, and you won't see stunning results in their growth. NO lighting isn't exactly disinged for keeping the zooxanthellae alive in corals, but rather to provide some color, or lighting to the aquarium. Actinic lighting is also extremely important in keeping coals. It would also help to know what kelven rating your lights are, which ones are actinic, which ones are daylight, as well as what type the lighting is.
PH