No. EVERYBODY gets it. That was the whole point.
Face it, how many people can suddenly afford to lose $10K per year (or whatever it is) from their yearly income?
Yes. As soon as you start with the "well no you don't qualify for the 10K because, fill in the blank. You then need hoards of bureaucrats to determine eligibility and all the other bull crap.
The only requirements should be that you are a citizen of the United States and that you are of age (18) to receive the payment. If you make it so each child gets a check, the explosion of "check babies" by the gibsmedats would crush the system immediately.