Yes, it is possible. If the CT tax on the income you earned was higher then the NY tax on the income you earned, you would not owe anything to NY.
NY will give you a credit for taxes paid to another state. The credit cannot be more than the what you owe to your resident state, but they can wipe out your taxes.
Is the amount of the credit, the amount you paid to CT? If so, all is good.
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