I don't think so, but you might need professional advice this year to confirm it.
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Normally, You can only take a credit in your Resident state (MA) for taxes paid to a nonresident state.. CT.
As such, you would
1) prepare the CT Non-resident tax return first, reporting the proper amount of CT income, and then paying CT what you owed them.
2) then you would prepare the MA Resident tax return, and take a credit for the amount you ended up paying to CT.
(and if the CT part of the wages actually had MA taxes withheld, then that might result in a good-sized MA refund. But that depends on whether or not the company did absolutely no withholding for either state on that part of the year's wages)
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You can't normally take that kind of credit in the nonresident state tax return, only your resident state, because your resident state can tax all your yearly income. (unless there's some strange arrangement between CT and MA that I've never heard of)
____________*Answers are correct to the best of my knowledge when posted, but should not be considered to be legal or official tax advice.*
