No you cannot ever add 2021 income to a 2022 tax return. You will need to amend your 2021 return to include the unemployment received in 2021. Wait until the 2021 return has been fully processed and then send in an amended return.
https://ttlc.intuit.com/turbotax-support/en-us/help-article/tax-return/amend-change-correct-return-a...
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