Many people spend all their practice time on the bench learning to shoot great groups at considerable distances. Unfortunately there are not many benches to shoot from in the field. Practice getting into various shooting positions quickly and quietly, and shoot from them. If you practice and are confident in your ability with the handgun of choice, know your distance limitations and stay within them, you will be a successful hunter. Know and obey your state's hunting laws, or those of the state in which you intend to hunt.
Handgun hunting is a challenge worth pursuing.
Cover the basics and you'll find the sense of accomplishment in your improved skills is well worth it.