Yes, flash photography is allowed except for certain exhibits, which are clearly marked "No Flash". Videotaping is permitted but video lights are not. Photos or videos of the aquarium that are taken for commercial use require advanced written permission from the Aquarium.
There are four hands-on exhibits, to be exact. Discover Lab lets you check out sea stars and small crabs up close. You can also pet a ray at the Ray Touch Pool, touch a shark at Shark Encounter, and feel a snake, alligator and bearded dragon at Scales & Tails.