Only the special case of a child of an unmarried mother. But that section 8 USC 1409(c) confers nationality, not citizenship. So, if BHO had been born outside the country, and his parents were not legally married, then he would be a US national, but not a citizen, let alone a "natural born" citizen.
I don’t understand why people are still suspecting his parents weren’t married - the divorce decrees from Dunham’s mariages to both Obama and Soetero have been posted online....