No.

War fatigue (and I'm putting this in the most relevant terms here - it was nowhere approaching the main combatants of WWI), coupled with isolationist policies and a very small standing military (barely over 100k men across all Ground forces branches) meant that if you were not already in; the chances of you getting in until Congress began gearing towards war in the late 30s (due to the efforts of certain congressmen and FDR), were slim. The US Army in the 1930s was attempting to mechanize and modernize against a backdrop of low budgets, crushing compartmentalization and economic ruin. What little money could be spent, was spent on ordnance and development. Public opinion was notoriously against the expansion of the military until the late 1930s.

Many men joined the National Guard, but this would hardly be enough to give you a living; and pay would be as sporadic as your actual calls to drill and exercise.

In short; the expansion, supply, and pay of the Armed Forces was very much a low priority until, oh I'd say until about 1936, 37.