Here's a link to how the states will handle the non-taxable UC. Some will do it automatically others you will need to file an amended return.
https://www.kiplinger.com/taxes/state-tax/602307/taxes-on-unemployment-benefits-a-state-by-state-gui...
Yes, you can amend your state return only. Please see I need to amend my state return for instructions.
Please wait until your state return has been processed before filing the amended state. Please be aware that you can e-file your 2020 amended federal tax return, but most states require amendments to be printed and filed by mail.
