No, not normally. If your W2 has two state lines (boxes 15-17), and you did not live or work in one of those states, you should only need to adjust box 16 of the state you did not live/work in. In most cases, the box 16 for the other state line should equal the box 1 amount on your W2.
Having said that, if the difference between box 16 of the working state and box 1, is equal to the amount from box 16 for the non-working state, then, yes, add it to the working state box 16 to get it to the box 1 amount. If you have to make this adjustment you will likely have underpaid your tax to the working state and may owe taxes there.
Be advised you would also need to indicate in the "My Info" section that you earned money in another state and select the state that mistakenly taxed you from the dropdown list. This will generate the non-resident return for that state.
Finally, be sure to have your employer stop withholding for the non-working state.
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