Harrison played football and baseball at Abilene High. He was a two-sport star at Texas Tech, playing defensive end in front of E.J. Holub. But Harrison is considered Tech’s first star in baseball. In 1962, he not only hit .440 but he sported a 1.020 slugging percentage, which stood as a NCAA record for more than 20 years. He played for the Houston Astros and the Kansas City Royals during his major league career. Harrison achieved four distinctive “firsts” in his career. He played on the 1960 Tech football team, which was the first Red Raider squad to play in the Southwest Conference. When he batted for the Astros, he was the first Tech player to play in the big leagues. He played in the inaugural season in the Astrodome in 1965, and he played on the first game of the expansion Kansas City Royals in 1969.