Besides Mary, wife of Joseph, is it possible to have a natural human virgin birth? One could argue yes, but why? Or, rather, why bother?
Childbirth is sufficiently painful that adding virginity to the process cannot make it a popular pasttime. A few things have to happen to provide for a virgin birth.
Sperm and egg are first on the list, and how they get together and where and when are less important, only that they do so after losing said virginity is the common method. At any rate, it can happen, though in real life it is so rare that most of us only remember the one about 2,000 years ago.
A woman’s egg would need to get fertilized by a sperm, all possible thanks to modern science, either by separating said egg from said woman, fertilizing egg in a lab using sperm from an unsaid or said man, and placing the whole mess back into the woman.
Again, one must ask why? God had his reasons for the aforementioned event. Why would someone want to repeat a virgin birth today?
To put it simply, sex, as in intercourse, is messy, what with all the fluids and sweating and grunting that is common among participants. Those attuned to an anal retentive lifestyle may choose to forego the physical aspects of conception in favor of an injection of the necessary components to provide the required end result; a virgin pregnancy and birth.
So, it can be done, it probably has been done, it may yet be done again, but the same question arises.