Yes, either one of you can present the decree and prove up the divorce.  As a member of the military, you can assert relief under the Soldier's and Sailor's Relief Act and ask the court to hold the case until you return, or you can waive the SSRA.  It is your right, so only you can waive it.  If the decree is signed by you, and your soon-to-be ex is willing to prove it up, then there are no legal prohibitions.