TurboTax will automatically determine if you qualify for the Earned Income Tax Credit EITC based upon your input when you prepare your tax return.
One of the requirements to receive the EITC is that the qualifying child must have lived with you (or your spouse, if filing jointly) for more than half the year in the United States (unless you were in the military).
You have indicated in your question that the child does not live with you. That being the case, you would not be eligible for the EITC.
The link What is a qualifying child for the Earned Income Credit (EIC) in 2019? provides information that you may find useful.
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