No. They could develop water intoxication and could possibly kill them. There isn't any reason to give them water. You could give pedialyte. Is baby dehydrated? Just wondering if you're just wanting to give water or for some reason? Formula or breastmilk is mostly water and has more than enough to keep baby hydrated. 6 months is the youngest and even then maybe half to an ounce but still not needed at that age.