Born in High Point, N.C., Vuncannon started boxing at age 11 as a sub-novice. Before he was finished he had fought in almost every weight division up to and including light heavyweight. He won over 100 bouts and lost 19.Vuncannon was a good puncher and classy stylist. In 1958, he won the Carolinas Golden Gloves in Charlotte and represented the Carolinas in the Eastern Golden Gloves event in New York City. He was beaten at Madison Square Garden in the semi-finals by Jose Torres who was the silver medallist in the 1956 Olympics at Helsinki and later the Light Heavyweight Champion of the World. Vuncannon won tournaments all over the state, approximately 12 championships all told. He was runner-up in Charlotte twice more and represented the Carolinas in the National AAU event in Cincinnati, where he lost to the 1960 National Golden Gloves champion. Vuncannon won three AAU tournaments in High Point and was eligible to represent the Carolinas in National AAU competition in Utica, N.Y. in 1962 but chose not to participate.
Vuncannon and his wife, the former Hazel N. Ryder, are the parents of five children. They live in Asheboro where he is pastor of Huldah Baptist Church.