No, flapping wing aircraft simply are less efficent for size scales that can carry a person. That's why the larger a bird's wingspan, the less frequently they flap, such that condors, storks etc. are basically fixed wing gliders.
We in the artificial world do have our own local optima with quad copter drones. Flapping here would be more efficient. Consider seagulls that dive and change direction instantly, and can respond to gusts without missing a beat. We have nothing approaching that maneuverability. This is an active area of research.