LOL! No. The power is to make a uniform rule, no more. Does it say Congress has the authority to define natural born? No, it does not.
The Constitutional Rule - 'that which is not included is therefore excluded' still applies, despite any attempt someone may make to enumerate out their penumbra.
How do you make a uniform rule without first identifying those who need to be naturalized from those who don't? Those Congress say don't need to be naturalized would be considered natural born citizens.