NH does not have an income tax based on your wages, but there is a tax on interest or dividends, If you had income from interest or dividends you can file a NH return to pay your tax due if you use a paper form and mail it in, but it is too late to use software for a 2016 return.
Get the form from the state:
Here is a case where the "Add a State" command is actually relevant.
Did you even try it?
You already have the fed part installed.
you would likely be charged.
@clemelin If you try downloading 2016 state software it will not be available---or even if it is, it cannot be updated so the results of using it would likely be inaccurate. TurboTax no longer supports or updates 2016 software.