Short Anser

Based on the information you provided Absolutely NOT! 

Background

The commander’s authority does not exceed law.  He/She  can prevent alcohol in the barracks, but they cannot make a random policy for everyone not to consume alcohol.  Does this order or policy also apply to the commander, the XO, senior enlisted, etc?

 Exceptions

All this goes out the window if they are deployed, on training maneuvers, if the Soldier is enrolled in ASAP, then yes, the commander can order that Soldier not to consume alcohol. etc.  Under such conditions consumption of alcohol can be prohibited.

Normal Operations

If it is a normal duty day and the unit is not going through multiple days of training, then no, the commander cannot order everyone not to drink because a few members got DUI’s, public intoxicated, etc.

Use this Information Wisely!

Be careful how you use this information.  Be Professional, factual, calm.  Might want to speak to your local IG or JAG first as well.  Don’t win the Battle and lose the war!

Special Thanks TO:

Our Legal SME Doug for helping us out with this one!