Yes you can enter a state tax payment you made in 2022.
Enter it under
Federal Taxes (or Personal for H&B)
Deductions and Credits
Then scroll way down to Estimates and Other Taxes Paid
Income Taxes Paid - Click the Start or Update button
Next page scroll down to Other Income Taxes Paid in 2022
Balance due on your 2021 State taxes paid in 2022
or Payments for 2020 or a prior year state or local paid in 2022
