In high school, Wiltz was a standout competitor in both football and track & field. In football, he was named to the second-team all-district team in 21-5A. At the 2013 state track & field meet, Wiltz placed third in the long jump and eighth in the 100 meter dash.
Trinity Valley Community College
Following high school, Wiltz continued his football career at Trinity Valley Community College in Athens, Texas. In his two seasons, they finished 10-2 and was ranked fifth in 2013 and 12-0 and ranked second in 2014. His second season he finished the year with 79 tackles, three tackles for a loss, one interception, and 14 passes defended, earning first-team all SWJCFC honors.
In his first season at ISU, he played in all 12 games and started seven of them. He made 41 tackles, in addition to averaging 22.6 yards on kick returns. His season-bests were six solo tackles against Texas Tech and three tackles with two pass breakups against West Virginia.
In 2016 he started 11 of the 12 games and tied the team lead for interceptions with two. In addition, he recorded 49 tackles, two for a loss, and ranked seventh in the Big 12 with 11 pass breakups. Wiltz's season highlights were eight tackles against UNI, seven tackles against Oklahoma, and a game-sealing interception against Kansas.
At the conclusion of the season he earned the Al and Dean Knudson Award as the team's best defensive player and was named honorable mention All-Big 12. In addition he was invited to compete in the College Gridiron Showcase.
Wiltz signed with the Philadelphia Eagles as an undrafted free agent on May 11, 2017. He was waived on September 2, 2017 and was signed to the Eagles' practice squad the next day.
New England Patriots
On September 7, 2017, Wiltz was signed to the New England Patriots' practice squad. He was released by the Patriots on September 20, 2017 but was re-signed five days later. He signed a reserve/future contract with the Patriots on February 6, 2018.