I don't know whether he could prove what he needs to prove or not. About the only thing that could prove it would be an original Hawaii birth certificate from 1961, examined by several real document experts and put online for all to see and assess.
I used to post the Hawaii department website where people could obtain certified copies of their original BC for $10.00. But Barry sure never took that route and all the dissembling since has created a situation where many will be very difficult to convince. And I'm not waiting for any true original to emerge from the Hawaii state records.
I can picture a scenario where he was in fact born in Hawaii and his BC says that Barack Obama, Sr., is his father (whether or not he was the actual sperm donor)...but there is other information on the document that he wants to keep the public away from. Would there be a notation of being adopted by Soetoro or of obtaining foreign citizenship?