I have seen a fairly authentic looking birth certificate that stated Obama was born in Mombasa General Hospital in the port city of Mombasa. Of course it cannot be proven.
It depends on what your definition of “authentic looking” is.
When I was a medical student one of my minor jobs was footprints of infants.
That Mombasa document is a fake. An actual footprint of an infant looks nothing like what was on that piece of paper.