Is a 17 year old male who's 5' 7" and weighs about 200 pounds healthy?

Possibly: Although these are overweight values, this is a young man who can compensate in many ways for this. In the long run, the health would be better if the weight were less.

Depends: If you are excessively muscular with a waist size under 34, it might be healthy. If you have a beer belly and a waist size over 38 you are likely just overweight if not fat. By a simple BMI calculation you are at 31 which is considered obese.