Yes. The EIC is just based on your income. Oh you mean the lookback rule? Yes that's what it's for.
The special lookback rule will allow lower income individuals to use their earned income from 2019 to determine their Earned Income Tax Credit and the refundable portion of the Child Tax Credit in 2020 and 2021.
How to use the Lookback provision
https://ttlc.intuit.com/community/earned-income-credit/help/how-do-i-use-the-lookback-provision-to-maximize-my-earned-income-credit-or-additional-child-tax/01/2134907
Yes, if you went through the TurboTax interview, you can qualify for the Earned Income Credit even if you have no children. If you are Single with no children, the maximum you can earn is $21,430 and investment income less than $10,000 for the year.
See Who Qualifies for the Earned Income Tax Credit (EITC) for more information.