Hambrick and his brother Darren helped Pasco High School win the 1992 Class 3A state championship in football. As a senior running back, he tallied 1,731 rushing yards and 36 touchdowns, while earning All-state, Sunshine Athletic Conference Player of the Year honors. He also was named to the Florida Super 24 Senior Team and the Tampa Tribune Player of the Year. He accepted a football scholarship from the University of South Carolina. In 1996, he became the first freshman in school history to rush for 100-yards in consecutive games, when he posted 120 yards against the University of Florida and 135 yards with 2 touchdowns against Clemson University to close the season. In that game, Hambrick and Duce Staley, became the second duo in school history to each rush for 100 yards in the same contest. He finished with 43 carries for 281 yards and 5 touchdowns. As a sophomore, although he was a backup behind Boo Williams, he still led the team in rushing with 115 carries for 604 yards and 5 touchdowns. As a junior, he was named the starter, leading the team with 144 carries for 701 yards and 4 touchdowns. Off the field issues led to his dismissal by then newly hired head coach Lou Holtz, before the start of the season on July 24, 1999. At the time, he ranked 18th on the school's All-time career rushing list. He transferred to Savannah State University for his senior season. He became a starter at running back, posting 183 carries for 1,189 yards, 14 receptions for 111 yards, 18 touchdowns and led the SIAC Conference in scoring. He finished with school records for most rushing yards-game, most rushing touchdowns-game, most rushing touchdowns-season, most yards per carry-season, most points-season and most total touchdowns-season.
Hambrick was signed as an undrafted free agent by the Dallas Cowboys after the 2000 NFL Draft on June 1. On August 27, he was waived and signed to the practice squad two days later. On December 8, he was promoted to the active roster. In the season finale against the Tennessee Titans, he replaced starter Emmitt Smith in the fourth quarter and led the team in rushing with 6 carries for 28 yards. He finished the season with 3 special teams tackles. In 2001, he had 9 starts at fullback in place of an injured Robert Thomas and 2 starts at running back. He registered 579 yards with a 5.1-yard average per carry, good for third place in the NFL and 8 special teams tackles. In the third game against the Philadelphia Eagles, he had 10 carries for 107 yards, including an 80-yard run in the fourth quarter that was the fourth-longest in franchise history. In the seventh game against the New York Giants, he started in place of an injured Smith, registering 30 carries for 77 yards. The next game against the Atlanta Falcons, he had 20 carries for 127 yards. His play in limited appearances created a controversy whether he should start ahead of Smith, which in turn affected the relationship between the two players. In 2002, his numbers decreased to 79 carries for 317 yards and one touchdown, but still excelled in special teams, finishing second on the team with 17 tackles. Hambrick is best known for being the player that replaced Smith as the Cowboys starter in the 2003 season. As the featured running back, using his size and deceptive speed, he rushed for career highs with 275 carries for 972 yards and 5 touchdowns, helping the team back to the playoffs for the first time since 1998. During that season against the Washington Redskins, he ran 33 times for 189 yards, which at the time was the third-most rushing yards in a game by a running back in franchise history, only Tony Dorsett and Smith had better games. On May 13, 2004, he was waived after the Cowboys drafted Julius Jones in the second round and also took into consideration his production.
During the 2004 season in a twist of fate, he ended up once again backing up Smith with the Arizona Cardinals. Hambrick played in the first 10 games, collecting 63 carries for 283 yards and one touchdown, before spraining his foot and being placed on the Injured reserve list. He was released on August 22, 2005.
On November 9, 2007, he signed with the Utah Blaze of the Arena Football League in an attempt to come back, but was waived within a month after being arrested.
Personal life
Hambrick's brother Darren was a linebacker in the NFL for the Dallas Cowboys, Cleveland Browns and Carolina Panthers. His uncle is former Major League Baseball pitcher Mudcat Grant. In September 2005, Hambrick was arrested on domestic abuse charges, which were dropped after prosecutors declined to file formal charges. In 2007, he was arrested for selling cocaine. He later was sentenced to five years in prison, but was released in March 2011 after entering a drug treatment program.