No, I don't have a horse. One of my mom's friends actually offered to give us one of their horses (they were moving out of state, and they couldn't keep him at their new home), but we had to say no. We would have trouble paying to board the horse, and we didn't think we would have enough time to spend with him and visit him.
I did take horse riding lessons though. I got as far as cantering with the horse. No jumps though.