Check their goals:
Management Goals:
The management goals are to provide the highest quality migratory bird habitat possible, provide for the needs of endangered plants and animals, allow compatible public uses such as fishing, trapping, wildlife observation and photography, promote research and restoration of wetland resources and provide opportunities for environmental education and interpretation, when possible."
Their goal is the welfare of the animals first... humans have an adverse effect on animal habitat. My conclusion is that no, camping is not allowed there.