No. Not if you're entirely remote. Your income taxes are based on the state you are physically in while working.

There are several exceptions: Connecticut, Delaware, Nebraska, New York, and Pennsylvania. If you work for a company located in one of those states, you'll owe them income tax.

If you work some in NH and some in MA, you'll need to pay taxes for the amount you earned while in MA.

If your company does not typically have remote workers, you may find they are incorrectly withholding Massachusetts income tax. This can be a little confusing and might trick you into thinking you owe MA tax. There's an extra form you'll need to file.

Mass did have some oddness during the prior two tax years (2020 and 2021) due to emergency orders relating to COVID.

More info at https://www.mass.gov/info-details/massachusetts-gross-adjusted-gross-and-taxable-income-for-nonresidents

As always, consult a professional, and don't trust strangers on the internet.