Kaepora Gaebora likes to chat. Speedrunners don't have time for that.
You can simply walk around the owl triggers in the following locations:
Performing either a Ground Jump, Superslide, or an ESS through the owl's text area will prevent the owl from interacting with Link. Once you are outside the owl's interact range, it is safe to release the trick and continue onward.
These tricks are used to skip the following owls:
Note that this can even be done with the very slow recoil ESS off rocks or torches, but is probably slower than talking to the owl anyway.
Owls can be avoided by rhythmically alternating between either two C-button items or a C-button item and a sword (Note that this will not work with all C-button weapons). Quickly swapping items will prevent you from fully wielding one of the items, preventing the owl from interacting with Link.
This trick requires precise timing and rhythm, rather than speed or button mashing, and is generally considered a hard trick to pull off. The best chance of being able to do it is with a sword and Deku Stick. It is most useful on the owl outside of Kokiri Forest, because in the early game won't have explosives for ground jumps or superslides, and there is nothing to get an ESS off of.
The owl that sits in a tree near the stairs to Kakariko Village can be skipped without the use of any items at all, thanks to a sign next to the stairs. If you get close enough so that the action icon changes to "Check", you can avoid triggering the owl's speech.