An article in the WaPo suggests not:
The study of more than 12,000 children nationwide found that the more milk they drank, the more weight they gained: Those consuming more than three servings each day were about 35 percent more likely to become overweight than those who drank one or two.
Ignoring the fact that “overweight” is actually healthier, the 35% increase tells us little because we don’t know how many children are considered overweight in the first place.
The article tries to scare us by telling us there’s a “growing problem of obesity among children.” I’ve posted before about how this is not true.
If I were a parent I’d be giving my kids as much milk as possible, because it promotes growth, and tall kids have a huge social advantage over short kids.