Congress has no power to pass such a law. If they did, they could redefine other terms in the Constitution, such as "arms", or "bear".
They could pass an amendment, and get it ratified by the necessary 3/4 of the states, but they haven't, other than the 14th amendment clause stating that "All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside.
Any citizenship law Congress passes can only be done under their power "To establish an uniform Rule of Naturalization", which means that can make some children "Naturalized at birth", and they have done so. But under the law in effect when BHO was (allegedly) born, (and for many years before and after Aug. 4, '61), if he was not born in the US, then he was not even "naturalized at birth", let alone a "Natural born citizen", an thus unless naturalized later, would be an illegal alien, subject to deportation.
He is however (presumably) married to a US Citizen, so he could get a green card without being subject to any quota on Kenyans or Indonesians, whichever he actually turned out to be.