Not really - those doors are cast iron, they're quite heavy. You've got to lift them up to open them.

But the front surfaces of the stove are hot enough to burn, and yes, the taps are an issue. Perhaps a fence or guard around the whole stove.

I've got a solid-fuel Rayburn but I never needed a kid-guard, when they started crawling, we went through a few lessons of what "hot" means.