Possibly. The first two stimulus payments did not cover dependents 17 years and older. However, if your son does meet the IRS rules as independent, he may be able to claim the stimulus payments on his own return by filing as single, not being able to be claimed as a dependent.
The IRS has an easy quiz to check here: Whom May I Claim as a Dependent? | Internal Revenue Service
For more information, see: What does "financially support another person" mean?
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