What? Anon I....
I've chassed down smaller things than a horse. I don't think that's a fair comparison Anyways.
Strictly running, I once chassed down a javalina, but I had to sort of "round" it up into a big field where there were absolutely no visible burrows for it to get into. The hardest part was keeping track of it when it would get into the distance.
It definatly was not easy and I wouldn't want it to be my main source of hunting but it can be done.
By hand alone and without tools and just using with ambushing I have been able to catch a duck, armadillo, multiple birds, lizards, turtles, frogs, snakes.
It's shitty but we can do it.