HelloCustomerand welcome to just answer.
No a gift does not count as income and would not count toward the stimulus payment. In order to qualify for the stimulus payment you need social security income or earned income of at least $3,000. Now if you were self employed, say you mowed yards and earned at least $3,000 after expenses, then you would be eligible. But then you would have to pay for self employment taxes and federal taxes as well, which would cost you more than the stimulus payment.
I am sorry if this is not the answer you were hoping for.