Yes. If you claim MA as your state of residence in TurboTax, all state income from all sources (including NH) will be included on your MA resident state income tax return.
Since you will not have an NH state income tax filing, just check that you selected "no" to " Did you make money in any other states?" under the Personal Information section in TurboTax (see screenshots)
I also live in MA and work in NH but I pay MA income taxes from my check. NH told me to file unemployment in MA and MA says to file in NH. Does anyone know who is right. If I'm paying MA taxes shouldn't I file in MA? Please Help