You might be able to keep corals in there for a short while, especially if they are placed as close as possible to the light, but they won't live for long. Corals have a symbiotic relationship with zooxanthellae, algae that requires photosynthesis to live. The zooxanthellae need enough light to keep the coral alive, and unfortunately, NO bulbs don't provide enough PAR (photosynthetically active radiation) to support the zooxanthellae.
Fluorescent bulbs scatter the PAR pretty well (and it gets worse the deeper it penetrates into the tank). The PAR from NO bulbs is just not concentrated enough to keep corals alive, except really close to the bulbs where the PAR might be enough for mushrooms or colonial polyps.