Yes, he is required to file a New York state return. Since he is required to file a federal return he is also required to file a New York return.

Please view the New York link below for more information.

https://www.tax.ny.gov/pit/file/residents.htm

"my son did not work last year"

A Form 1099-MISC with income in Box 7 is considered self-employed income by the IRS, which means there will be could be some self-employment taxes as well, depending on the net amount of self-employment income (profit.)