Maybe, but being a bit serious for a moment, how would they cope?
(Couldn't allow dodging by otherwise healthy people piling on the weight in the months before they'd be drafted).
I suppose they could have 'pre-induction' sessions, sorting out the fatties before formal induction.
As to the film, well the fact that Hue in Vietnam was actually the London Docklands just prior to extensive re-development and the Stateside camp (Pharris Island?) was RAF Mildenhall in Suffolk, England (going to airshows there I recognized it immediately), as well as it being one of a glut of Vietnam films at the time, I've never been a fan.
But Kubrick was well into his decline by then, the last film of his I really liked was 'A Clockwork Orange'.
The old, more daring Kubrick, might have done a Vietnam film from the VC