Here are the rules for who can claim the Earned Income Tax Credit:To qualify for Earned Income Tax Credit or EITC, you, and your spouse if married and filing a joint return, must meet all of the following rules:Have a Social Security Number that is valid for employmentHave earned income from working for someone, running or owning a business or farm or another sourceCannot file as married filing separate Must be: a U.S. citizen or resident alien all year or a nonresident alien married to a U.S. citizen or resident alien, file a joint return and choose to be treated as a resident alien (for more information on making this choice, see Publication 519, U.S. Tax Guide for Aliens)Cannot be the qualifying child of another personCannot file Form 2555 or 2555-EZ (related to foreign earned income)Your Adjusted Gross Income and earned income must meet the limits shown on the Income Limits, Maximum Credit Amounts and Tax Law Updates PageYour investment income must meet or be less than the amount listed on the Income Limits, Maximum Credit Amounts and Tax Law Updates PageThe text can be found here:Earned Income Tax Credit Rules for EveryoneConclusion:  Since the people covered by the Executive Order will not be US Citizens or Resident Aliens, then they will not qualify for the EITC.