I e-filed with Turbo Tax NY IT203 just to realize a few days later that Turbo Tax did not auto fill mandatary SDI and PFL correctly. Can Turbo Tax amend the situation?

Yes, you can amend it, but you will want to wait until your return has been fully processed before amending it.  Also, if you are receiving a refund, you will want to wait for the refund to be received prior to the amendment.  To amend you will follow these steps:

1. Sign in to TurboTax
2. On the home screen, scroll down to Your tax returns & documents and select the year you want to amend
3. Select Amend (change) return, then Amend using TurboTax Online
   • If you're told to amend your return via TurboTax Desktop, follow the steps for TurboTax CD/Download below instead
4. On the screen OK, let's get a kickstart on your amended return, select the reason(s) you're amending and Continue
5. When you reach Here's the info for your amended federal return, select Start next to the info you need to change
6. Continue through the screens, make the changes you need to make, and carefully answer the remaining questions to finish amending your return

For more information on amending returns, see the link below:

How do I amend my federal tax return?

Thanks for the response. Since the error does not affect my federal return (took a standard deduction), can I amend New York non resident only on Turbo Tax?

Yes, you can amend just the state return.  To complete follow these steps:

1. Select IRS or State sent me a notice
2. Select Something Else
3. check State and leave Federal uncheck
4. Finish amending the return

@CarolQ1