I think I understand what you are asking.
No, there is nothing you (personally in the TurboTax program) can do to reallocate the income from one year to the last. Your employer would need to issue to you a corrected W2 for both 2020 and 2021.
It sounds as if the company explained that payments made in 2021, although for services provided in 2020, would be reported on the 2021 W2.
It is similar to working in December, but getting paid in January the next year. The income is reported for the tax year the income was received.
Since the Child Tax Credit is based on Modified Adjusted Gross Income, student loan interest payments and/or IRA contributions would not adjust your income on which the credit is based.
@aaherrera
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