Yes, you can claim the moving expenses if you move "home" from your last duty post after being discharged because it is still considered a PCS move.
A permanent change of station (PCS) includes a move from:
- Home to the area of the first post of duty.
- One permanent post of duty to another.
- The last post of duty to home or to a nearer point in the U.S. The Armed Forces member must move within one year of ending active duty or within the period allowed under the Joint Travel Regulations