Yes, if you have an amount for State Tax Withheld in Box 14 of your 1099-R, you need to enter an amount that the tax relates to in Box 16. This is usually the same amount as in Box 1 (or Box 2a, if you have an amount there).
You can enter the amount in TurboTax when filling out the entry form for the 1099-R, if it is blank on your form. Depending on your state, some or all of your pension income may be excluded from state tax. TurboTax will figure that for you.
Here's more info on 1099-R for Pensions, Annuities, Retirement.
@bsesh
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