That would certainly make things easier, but I don't believe it is true. It takes two to tango, Adam and Eve participated in the Sin and (for most folks) it takes a man and a woman to bring about the creation of a new soul.
SD
The giant hole in your statement is that Adam and Eve, Who had no father (or mother) did not originally have a sinful nature. Their sin was of choice, not by their nature. The sinful nature came about because of their sins and was passed on to us all, except for one, Jesus, who was the second Adam and also had no human father.