Yup owls do that. One year at camp my brother came home from the service to do some deer hunting and his service job was to teach survival training for the navy seals. He brought along a couple of rabbits to show me how they were taught to capture wild rabbits and clean and prepare them to eat in a survival mode. We decided to keep them in an enclosed area so we made a small fence and left them there so we could get them the next day and have a rabbit stew. The next morning we went out there and they were dead with the heads missing. He said it was an owl. we never knew for sure but there was a limit as to what could have gotten them.A coon or fox wouldn't have been able to get over the fence so it had to fly in and it happened at night so owl is probably the culprit.