Diet to avoid the draft?

The Army Times reports many American youths wouldn't be eligible for service in the Army due to obesity.

Does this mean that a dangerously underweight individual could avoid the risk of being drafted simply by following Dr. Nick's easy diet advice?

Dr. Nick: Hi everybody!
Homer+Bart: Hi Doctor Nick!
Nick: Now there are many options available for dangerously underweighted individuals like yourself. I recommend a slow steady gorging process combined with assal horizontology.
Homer: [pensive] Of course.
Nick: [points to a chart] You'll want to focus on the neglected food groups such as the whipped group, the congealed group and the chocotastic!
Homer: What can I do to speed the whole thing up, Doctor?
Nick: Well...be creative. Instead of making sandwiches with bread, use poptarts. Instead of chewing gum, chew bacon, heh...
Bart: You could brush your teeth with milkshakes!
Dr. Nick: Hey, did you go to Hollywood Upstairs Medical College too? And remember, if you're not sure about something, rub it against a piece of paper. If the paper turns clear, it's your window to weight gain. Bye bye, everybody!