No. That is what the draft does. And if it is legal and constitutional for the government to take a kid, ship it half way across the world and get him killed - i think that commenting two if's in a codebase and recompiling are quite less onerous.
The draft is authorized by express constitutional provisions regarding the militia and powers related thereto assigned to Congress (for providing rules for calling them into service) and the President (for directing them once so called) and implemented through statutes adopted by Congress.
Unless you imagine that the All Writs Act is intended to be an exercise of Congress powers relating to the militia, that's not really going to support this order.
