Cyclists are lucky, they can lift their mounts over locked gates and stiles, and drag them under barbed wire or other barriers, without them complaining or rebelling. It's a lot more difficult to do that with a horse - and even if you're strong enough to try it (unlikely), and the animal lets you (also unlikely) and doesn't kick you in the face, knees and kidneys by way of protest (about the only thing that is likely, if you try ...), by the time you've gathered all four of their legs together in your arms and lifted, the entire tower of horse-lifted-by-human will just overbalance ...
When I was a child I had a very clever pony (a worn-out old thing from a rag-and-bone man's cart, who got a new lease of life when all it really had to do was to be doted on by a nine year old) who could manoeuvre herself over and through a great many stiles. I never encountered another like her, nor succeeding in teaching any how to do it as Pet did. Failing that level of agility and sensible-ness, a small saw (one of those wire things) and a fencing tool will help.