Yes, if technology could build them to work like a bird. But due to the weight it would need wingspans of 40 feet and more and take off would be a huge problem.
Flight control and all the rest would have to be worked out.
But assuming you could build an exoskeleton to do the muscle work then there is nothing stopping it being possible. It's just not the most efficient way of flying for humans.
Takeoff is a big problem, large birds either drop into the air from a height or run along flapping to gain enough speed to get lift for take off eg, swan. It's unlikely that a human could run fast enough even without balancing a 40 foot wingspan, so they would need to drop from a height.
This is all pretty dangerous, as recently as 2006 Yves Roussea was severely injured in a flight attempt under controlled conditions. A fixed wing is a lot safer for obvious reasons.