Does West Point have the "Ability" to grant a graduate degree? Yes, I'm sure they do.
Can you, as an enlisted guy, get assigned to West Point to pursue a graduate degree? Not only no, but heck no. Not even a snowflake's chance, not to mention the snowball's chance.
The military in general, and the Army in particular still have a rigid class system for Zero's with "Ringknockers" being in the top class.
Enlisted folks are absolutely NO class!
If you DO obtain a commision, as a former enlisted guy, you will forever be in the bottom class of Zero's...the Ringknockers won't give you the time of day unless it benefits them to do so.