Seems very unlikely to me. The Obamas were married at the time of the birth. Birth records list the legal father, which is always the husband, if there is one, not the biological father.
Anyway, before the availability of DNA testing the identity of the biological father was never known for sure, except by the mother, and quite often not by her.
I’m not claiming that Obama’s father is not who he had always thought he was, but that there could be details on the BC that would be embarrassing, other than citizenship or native birth.