There is no death certificate. Anywhere. Local authorities can only issue a death certificate when a death occurs within their jurisdiction.
When an individual dies while serving on active duty a standard form, "Report of Death" or "Report of Casualty", is prepared. A copy of this form is provided to the designated next of kin and may be used for any purpose for which a death certificate would normally be required.
The Report of Death/Report of Casualty is virtually useless for geneological purposes in that it lists little more than the decedent's name, rank (or rating), service number and dates of birth and death.
Next of kin have filed copies of Reports of Death/Casualty to claim (or attempt to claim) war bonuses for which decedents were (or would otherwise have been) eligible but such cases appear to be extremely rare. These are the only instances where such reports would be on file in local records.