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Possibly.  He must meet all the following tests:

1. He lived with you all 365 days of the year.

2. His gross taxable income is less than $5500.

3. You provided more than half his total financial support.

4. He is not married, or if he is married (to someone else) he does not file a joint return with his spouse.

5. He either does not file any tax return (not required to), or only files a tax return to claim a refund of tax withholding, and claims no other credits, deductions or dependents. 

6. He must have a social security number or an ITIN (international tax ID number).  If he does not have either one, you would have to file by mail and include the ITIN application.