No, an eagle cannot carry a human baby. Eagles are powerful birds of prey, but their strength and abilities have limits. While they are capable of carrying relatively heavy prey, their carrying capacity is not enough to lift a human baby. The average weight of a human baby is much greater than what an eagle can lift or carry in flight.
Moreover, eagles are not adapted to carry large, heavy objects, including human babies. Their bodies are designed to hunt and carry smaller prey like fish and small mammals.
It's important to remember that eagles are wild animals, and attempting to interact with or handle them, especially in this manner, can be dangerous for both the eagle and the human involved. It is best to admire these magnificent birds from a safe distance and respect their natural behaviors in their habitats. If you encounter an injured or distressed eagle or any wildlife, it's crucial to contact your local wildlife authorities or rehabilitation centers for assistance and not attempt to handle the animal yourself.