No. Unfortunately, you can't use Form 843 -- you'll need to use Form 1040-X, Amended U.S. Individual Income Tax Return, to correct the amount computed on Form 8959.
Please see Do not use Form 843 when you must use a different tax form in the Instructions for Form 843 for more information.
Please see the TurboTax Help article "How to amend (change or correct) a return you already filed" for instruction on how to amend your previously-filed tax return.
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