Yes. Connecticut General Statutes require all Permit to Carry applications to be made in locations where the applicant maintains a bona fide residence.
The law states that individuals may have more than one residence but only one domicile.
Individuals who have more than one residence in the State of Connecticut may apply in any jurisdiction where they maintain a bona fide residence or a domicile. Connecticut General Statutes Section 29-28 (b).