Compassionate actions are covered in
AR 614-200, Enlisted Assignments and Utilization Management, Chapter 5, Section III, paragraph 5-14:
d. Normally, the following conditions alone are not a basis for a compassionate request:
(1) Soldier’s desire is to be in a new area.
(2) Divorce or separation that is the result of family separation due to military requirements.
(3) Legal actions and court appearances for matters relating to divorce and/or child custody issues.
(4) Recent awarding of custody of dependent child or children to the Soldier under the terms of a divorce or legal separation by temporary or permanent court order.
(5) Sole parenthood.
(6) Pregnancies involving threatened miscarriage, breech birth, cesarean section, or RH incompatibility of spouse.(7) The problem expected to be resolved by family members joining the Soldier at their duty station.
(8) Minor allergies suffered by the members of the family due to climatic conditions.
(9) Problems relating to home ownership or housing shortages.
(10) Financial problems alone or as the result of mismanagement of financial affairs by the Soldier or the Soldier’s family or problems related to an off–duty job, spouse’s job, or private business activities.
(11) Chronic problems relating to parents or parents–in–law.
I am by no means an approval/disapproval authority, but I doubt your request will be approved.
Fill out the DA Form 3739 and see what happens.