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No. 

As an F1 visa holder, you are a nonresident alien for tax purposes for the first 5 years in the US.

A nonresident alien cannot claim an education credit unless:

• You are married and choose to file a joint return with a U.S. citizen or resident spouse, or
• You are a Dual-Status Alien and choose to be treated as a U.S. resident for the entire year.

Please red this IRS FAQ question 24 for more information.

@Silfig29 , generally not.  F-1 implies you are NRA  ( unless you are not an exempt person and have passed  SPT).

From the IRS :

Who cannot claim an education credit?

You cannot claim an education credit when:

• Someone else, such as your parents, list you as a dependent on their tax return
• Your filing status is married filing separately
• You already claimed or deducted another higher education benefit using the same student or same expenses (see Education Benefits: No Double Benefits Allowed for more information)
• You (or your spouse) were a non-resident alien for any part of the year and did not choose to be treated as a resident alien for tax purposes (find more information in Publication 519, U.S. Tax Guide for Aliens)

Is there more I can do for you?