Is there a way to round up 2022 estimated tax payments?

Yes. You can round up your 2022 estimated tax payments to the next $1, $10, or $100. 

To round up your 2022 estimated tax payments (1040-ES vouchers), please follow the steps below: 

1. With your tax return open, search for 1040-es (be sure to include the dash) and select the Jump to link.
2. Answer No to the question Do you want to change your W-4 withholdings for 2021?
3. Answer the questions about things like your 2022 filing status, income, and deductions.
4. On the screen Round Up Your Payments?, select how much you would like to round up your payments by. 
5. Eventually, you'll come to the Print Vouchers? screen. Answer Yes and we'll include your 2022 1040-ES payment vouchers when you print a copy of your return later.

The solution doesn't work.  Why do I need to go through answering  pages and pages of input as suggested in your response #3  if these amounts will be the same as 2021? There should just be one screen that allows you to round. I give up.

You can just mark through the amount shown on the estimated tax payment sheet and enter the rounded number you want to pay. The IRS does not get the information printed on the estimated tax payment sheets until you mail the sheets with your payment. Or you can ignore the printed sheets and use IRS Direct Pay to pay whatever estimated tax you choose directly to the IRS. 

Thanks for your answer Texas Roger. You are basically saying to ignore the TurboTax estimated tax vouchers. It seems that Turbo Tax  should have an easy way to allow you to round up estimated taxes and produce accurate vouchers that can be submitted ( Note: I have the same issue for state estimated payments.) But since they apparently don't have an easy way to do this, I will use your approach.