My son and I just did a little "practice session" this past weekend (he's 4 almost 5)
Just me, him, and a small backpack to spend the whole day in the woods. No, it's not overnight, and no it was not far from home (in fact, it's in on our property, we have lots of woods), but we DID gather food together (Hickory & Walnuts, some Onion Grass, which he likes, and for a treat some Sassafrass Bark), we DID purify pond water, and we DID build a simple improvised shelter and he helped me build a small fire. I was going to catch and eat one of our loose Guinea Hens, which we raise for food, but my wife called us in for dinner, and Pizza on the table is easier than a bird to be dressed!
We had a great deal of fun, it's a great father & son thing to do, and since we're only practicing, we can find flaws in our kits. For example, I didn't really have enough rope in my bag to turn a tarp into a tent AND to secure it properly. I need much more than 50', it turns out. Also, it would have been nice to have something better than my lousy home depot tarp as a shelter, so since then I've gotten some ripstop polyester material at a fabric store that was going out of business and I'm going to make my own tarp-thing from it to meet my needs.