From Zelda Legends Wiki
In OoT he is strong enough to carry young Link through the air, and can do so repeatedly in certain locations, such as the top of Death Mountain down to Kakariko Village and also from Lake Hylia to the drawbridge just outside Hyrule Market.
Ocarina of Time
According to a gossip stone:
They say that the owl named Kaepora Gaebora is the reincarnation of an ancient Sage.