Yes, indeed! I have a chief in one of my games that is only three years old. And, another thing that is great is that chiefs of any age will gather firewood, stand on the lift, and other small tasks, even though they don't do any real work.
I have to share this though, I had my child chief stand on the lift until a seed dropped down to be planted. When I placed the child chief on the seed to plant it -- he would not do so, instead he took off running and the action caption read, "Looking for mommy!" I just found that adorable, really...not sure why that happened, but I thought it was cute!