Wolfe first enrolled at John Tarleton Agricultural College before transferring to the University of Texas.

Wolfe participated in football, basketball, and track and field at John Tarleton Agricultural College.

In a November 14, 1936, game against Minnesota, he set a then-school record with a 95-yard kickoff return for a touchdown, quick kicked 90 yards, and had an onside kick that traveled 50 yards into Minnesota's end zone and was recovered by a Longhorn teammate for a touchdown.

[5] He played for the NFL's New York Giants in 1938 and was named to the Pro Bowl team.

The Giants defeated the Green Bay Packers 23-17 on December 11, 1938, to win the 1938 NFL Championship.

[10] Wolfe served in the United States Armed Forces during World War II.