Yes. As long as you are active duty military and have been transferred/assigned/reassigned to Connecticut you may bring any legally owned firearms classified as "Assault Weapons" by Connecticut statute with you when you move into this state. You have 90 day to obtain a "Certificate of possession of assault weapon" by contacting DEPP/SLFU at the following address.
State of Connecticut
Department of Emergency Services and Public Protection
Division of State Police
Special Licensing and Firearms Unit
1111 Country Club Road
Middletown, CT 06457
Telephone (860) 685-8290
Email: Special Licensing and Firearms
Connecticut General Statute Sec. 53-202a.
Connecticut General Statute Sec. 53-202d. (b)