If someone is injured while trespassing, can they file an Atlantic City premises liability claim?

Not usually. The duty of care owed to a trespasser by a property owner is minimal: the property owner must not set a trap or otherwise intentionally cause injury to a trespasser. However, the property owner does not have the duty to remedy property hazards to keep trespassers safe and usually will not be liable for injuries suffered by an individual who entered their property without permission.