You could take a couple cutting lessons maybe? I have a friend who rigged up her own flag system and teaches her horses to track that way. She also gets a couple steers to butcher each year and plays around with them. Although, she doesn't compete in cutting. She does it more for sorting and team penning. Have you ever tried either event on your horse? That might be geared more towards your interests...just doing it for fun. Cutting is super competitive and you probably would need help in order to compete in it. Esp with how much entry fees cost!
Never say never. Go out and move some cows, five times a week. Practice makes perfect. Read books, watch videos on youtube, talk to cutters, get anything you can that will make you better. Nobody taught the first people to ride horses how to do it, you just have to do it.
TKS does make a fair point. When people started cutting there was no trainer telling them how to do it. Granted trying to learn that way would take years longer than just going to a trainer and them working with you.