Yeah. Personally, I would never give a child that age a gun.
In my family when I grew up, we had a few rifles. They were stored unloaded. No one ever "played" with them. We would take them to a safe place (no people or animals we cared about), set up targets, and (with direct parental supervision) have some target practice. Basic gun safety was always lesson one. We respected the weapon as well as the damage it could cause and we never took it lightly.
I cannot imagine the pain and heartbreak this family is experiencing now. No matter who was at fault, I cannot grasp the depth of their pain. I cannot imagine how that five year old must feel right now. Heartbreaking.