Absolutely, I would also walk down the public roads also to get from one field to another, nobody said anything. It was quite normal in the rural Midwest. You'll probably find lots of true stories online as well about kids arriving to school and checking their rifle with the principal at the beginning of class and then getting them back at the end of the day.
Check the gun with the principal?! No, you leave it on the gun rack in the back of the pickup, and lock the truck door like normal people at my high school. :-)
Dang, seems like a completely different world than the one I live in. Honestly I would prefer it if we were able to teach our kids personal responsibility to this level, I actually believe people can be that mature by age 7 and you know whether a kid is a rule breaker or not by that point.