Yes, unless Obozo's real father is someone other than BHO, Sr. My bet is that he is a "real" bastard and that BHO only gave some sense of legitimacy for his mother. There is no evidence that Stanley Ann and BHO, Sr. ever lived together as man and wife in the U.S. If they did it was in Kenya, which I doubt. But for that matter there is precious little evidence of his existence at all.
It seems to me if Obama’s father was not Obama he would stand a better chance of being a legit citizen as his mother IS an American...If no one knows who his father is how will you know what nationality they are?