Simple answer yes. I grew up on a small horse ranch. We usually had 10-13 horses. My dad rented them out and gave lessons. Certain horses will bite, kick or try anything to get you off their back. My sis was the horseman, I was the person horses knew they had figured out. My horse "Chief" would run home from two miles away and in the process try every attempt he could to go under a low tree branch and scrape me off. He would take off with no notice, and run home. The bit in his mouth did no good when he did this. Other times he was fine... for a limited time. I either had to hang on or fall off, even on the road. Once he did this in the rain, at a sharp corner in the road , he cut into the wet grass. Next thing I knew he was upside down right over me and I banged into a fence. Fortunately he didn't land on me. He got up, ran home and I limped home on foot. There he was.... standing at the hitching post ....waiting for me to unsaddle him. There are good horses out there, but I would not leave children unsupervised around them.