There's a list of prohibited activities on that site and both camping and night-time use are explicitly mentioned:
"The following activities are prohibited on the refuge:
n The use or possession of alcoholic beverages while hunting
n The possession or distribution of bait or hunting with the
aid of bait, including any grain, salt, minerals, or other
feed or any non-naturally occurring attractant on the
refuge
n Taking, collecting or disturbing any plant or wildlife other
than those specified by refuge rules
n Target shooting
n Feeding wildlife, including alligators
n Night time use of the refuge
n Frogging
n Taking of turtles
n Climbing trees by driving nails, spikes or other objects:
using a tree that has existing nails, spikes or permanent
steps; or using climbing spikes
n Using areas designated “Area Closed”
n The use of any type of material used as flagging or trail
markers, except reflective bright eyes.
n Camping, building fires or overnight anchoring"