I completed my return with Turbo Tax. Now NYS needs me to complete an IT 201X form. Can Turbo tax assist with this?

Yes, you can file NYS Form IT-201-X, Amended Resident Income Tax Return using TurboTax. See I need to amend my state return.

You will need to amend if you already mailed your return (or the government accepted your e-file) and:

• You need to report a tax form you forgot about or received post-filing (most commonly a W-2, 1099, or 1095-A).
• You received a corrected tax form after filing (the "corrected" box is checked) and the new info changes your refund or tax due amount.
• You forgot to report income or claim dependents, deductions, or credits.
• You accidentally claimed dependents, deductions, or credits you're not eligible for.
• You made an error that affects your bottom line, such as reporting income or deductions in 2020 that should've been claimed in a prior tax year (in that case, you'll need to amend all affected tax years).
• You need to change your filing status (for example, you want to change from Single to Head of Household).
• The government instructed you to amend.