Although individuals certainly can (lift) it is impractical to suggest that the military take on a lifting regimen. They have slowly turned away the "runner's physique"-type workout to functional fitness, which has resulted in fewer injuries and more endurance.
The problem with airborne and any of the heavy-lift guys isn't that they are deconditioned or lack the proper workout; the problem is when you ask a guy to day-after-day to carry 2x body weight, it will break you down, regardless of how 'in shape' you are.