Distribution of the second round of stimulus payments to individuals began early in 2021. The payment amounts were based on 2019 AGI (obviously the IRS does not yet know 2020 AGI because 2020 returns have not been filed). When you file your 2020 return, you may be able to claim an additional amount in the form of the recovery rebate credit, based on your 2020 AGI.
The legal transfer of property, rights, or interest to another person called an assignee. You cannot avoid tax on income by assigning the income to another person.