No it is not.. and frankly... I don't like the whole thing of having the only stipulation of 'being born here'.... personally.. my stance would be that if you're born here of someone here illegally, you don't get the benefit of legal status....
Some people are here legally when the child is born, yet they become illegal when their visa runs out.
Would you consider the child to be natural born at birth, and then an illegal immigrant 6 months later when their parent's visa expires?