Are you asking if your college student can get earned income credit? If you are claiming him as a dependent---no---dependents do not get EIC.
https://ttlc.intuit.com/questions/1899157-what-are-the-qualifications-for-the-earned-income-credit-e...
https://www.irs.gov/credits-deductions/individuals/earned-income-tax-credit/use-the-eitc-assistant
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