Sure it and so is applying for a drivers license and student loans as a foreign national. Assuming of course he is Natural Born.
I doubt he claimed to be a foreign national for these.
I also think the “born in Kenya” thing is extremely unlikely, in spite of Kenyan tales. And even so, its a slam-dunk that courts would say that “natural born” NOW means born to a US citizen anywhere. Certainly the Supreme Court wouldn’t flinch from adopting that definition. The identity and citizenship of his mother is not in dispute, and he has acted as and been treated as a citizen for 40+ years, so such issues would be seen by nearly everyone (and most courts) as pettifogging.
There is something else hidden there, in the birth certificate and elsewhere, and this controversy was originally an attempt to flush it out.