Answer:
no, the nails are not an exoskeleton
Step-by-step explanation:
Humans don't have an exoskeleton. Invertebrates have an exoskeleton and vertebrates have an endoskeleton.
Hence, the nails are not exoskeleton, the nails are derivates of the skin. We don't need our nails to survive, but they do support the tips of our fingers and toes, protect them from injury, and help us pick up small objects