Yes, during the last year of the war the draft boards were running out of draft-eligible men under the existing exemption rules. So, older men and men with children became eligible for the draft.
Eddie Slovik, the only US soldier shot for desertion in WW2 is another one who was initially rejected—for a petty criminal record and physical problems—who was drafted as they kept lowering the standards and was at the front that winter, though south of the Bulge, I believe. A guy who never should have been in the army. They were genuinely having trouble filling the requirements that the war was creating and the need was particularly great in the rifle companies, where most of the casualties were.