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No, Form1042-S, Foreign Person's U.S. Source Income Subject to Withholding, is not meant to report a qualifying student.

The purpose of this form is to advise the IRS that income paid to a Foreign Person is U.S. sourced.

Whether your income is subject to a reduced rate of withholding (due to claim of tax treaty benefits on form W-8) isn't relevant.   It can be confusing because it is possible to claim a treaty and not withhold.  It might be easier to think of the 1042S as a 1099 MISC.  

 

To report form 1042S on TurboTax, you'll have to enter the information as miscellaneous income based on income code in Box1. 

For more details on how to do it, view this step by step TurboTax article.  Be sure that you enter it correctly on the Federal Side and then move to MA state.