Stuckey attended Washington High School in Kansas City, Kansas.
In his sophomore season in 2007, Stuckey started all 13 games at safety and was fourth on the team in tackles with 72.
In his junior season in 2008, Stuckey ranked second on the team in tackles with 98, the most by a Jayhawk defensive back since Tony Stubbs in 2003. He also led the team with five interceptions.
In November 2009, he was named one of the twelve semifinalists for the 2009 Jim Thorpe Award.
On June 10, 2010, he was named the Big 12 Sportsman of the Year for 2009-10.
Stuckey’s 295 career tackles at Kansas were second-most all time among Jayhawks defensive backs. Only former NFL great Leroy Irvin (347) had more. As a junior, Stuckey tallied 93 tackles and became the Jayhawks’ first non-linebacker to lead the team in tackles since 2000.
One of the team's fastest players, Stuckey is an all-around talent on special teams. In addition to his tackle totals in 2012, Stuckey led the NFL with six punts downed inside the 20, while also forcing a team-high two fumbles, recovering an onside kick and tallying six tackles inside the 20.
The 2012 season was no exception as for the second year in a row, Stuckey tied for the team lead with 12 special teams stops. He did so despite ending the season on the “Reserve-Injured” list and not playing in the team’s final three contests. His total of 24 special teams tackles over those two seasons is tied for eighth-most in the NFL, and all but one of the players with more have played in the full 32 games, while Stuckey played in just 26.
The 2013 season saw Stuckey as special teams captain for the second year in a row. He played all 16 games, making 21 special team stops and recovering 2 fumbles.
He re-signed with the Chargers on March 8, 2014, keeping him in San Diego on a multi-year deal. For the 2014 season Stuckey was voted special teams captain again for the third year in a row. Against the Seahawks, Stuckey recovered a fumble from Percy Harvin, helping the Chargers to win the game. In the Patriots game, Stuckey recovered a fumble forced by Jahleel Addae and returned it for his first NFL touchdown. Stuckey put up career-high stats of 27 tackles, 2 passes defended, 2 fumble recoveries, and 1 touchdown, leading him to his first Pro Bowl.
For the fourth consecutive year in 2015, Stuckey was voted the Chargers' special teams captain.
On August 4, 2017, Stuckey was released by the Chargers after failing his physical.
Stuckey married Lacie Stuckey, previously Reed, a former manager for the Kansas Jayhawks basketball team and the older sister of former Jayhawks guard Tyrel Reed, on Saturday, April 9, 2011. On February 13, 2013, the couple welcomed their first child, a baby boy named Jayton James Stuckey.
Stuckey is one of the Chargers’ most-active players in the community. As a student at Kansas, he was not only one of the school’s most talented athletes, but also one of its most popular and academically gifted.
Raised by a single mother, Michele Foulks, Stuckey graduated in four years and was named to the Athletic Director’s Honor Roll. He was also one of the Jayhawks’ most active participants in student government and community service. Stuckey enjoys delivering motivational speeches and regularly volunteers to lend a helping hand with community projects in San Diego.
Stuckey is a Christian. Stuckey established "Living4One", an organization to "help people discover that they were created to influence the world in a positive way" through living for Jesus.