[V_TWIN]

This says no

https://www.facebook.com/WPTV5/videos/fact-or-fictionan-alligator-can-outrun-a-horse-click-see-more-for-the-answer-the/210102517324468/

[sport]

When I was young, people who had hunted them all their lives said they could outrun a horse for short distances. I believe them. They said one went up a tree in a hurry to get away from one. I believe them. But that was back in the 1950s.