Yes you can! I looked it up to make sure it is specifically legal in Connecticut . The repeal of a 95 year old law allows non residents in most states to marry as non residents, that right applies to any legal marriage. Most states that allow gay marriage must abide an allow this same right to gay marriage,  Connecticut being one of those states. Here in California the battle to reclaim these basic rights to Marry whomever we love rages on.  Good luck and congrats for whomever is getting married. Go use your rights! Another question to ask is if your state recognizes that marriage. Regardless, the answer is YES!