Jordan was born to parents Bryan and Faith Jordan in Kingston, Jamaica, a city with just two hardwood courts, and it was not until age 16 that Jordan began playing basketball. Stephen Johnston, a former Jamaican national team captain, found a spot for Jordan at Redemption Christian Academy in Troy, New York, which he attended with his sister, Jheanelle, while his parents stayed in Jamaica. However, after one semester, Bryan withdrew Jerome and Jheanelle from the school and they returned to Kingston. After graduating from Jamaica College, Jordan enrolled at Florida Air Academy in Melbourne, Florida. However, he was ineligible to play in 2005–06 due to an academic transfer rule.
College career
On April 26, 2006, Jordan signed a National Letter of Intent to play college basketball for the University of Tulsa. In his freshman season at Tulsa in 2006–07, Jordan played 23 games while averaging 2.7 points and 2.1 rebounds in 7.8 minutes per game. In his sophomore season, Jordan was named to the Conference USA All-Defensive team and All-Tournament team after a season where he finished second in the conference in rebounds and first in field goal percentage and blocked shots. He also led Golden Hurricane to the 2008 CBI championship and was named the tournament MVP. In 39 games, he averaged 10.5 points, 7.9 rebounds and 3.7 blocks per game. In his junior season, Jordan was named to the All-Conference USA first team after he earned Player of the Week honors four times. He was also named to the All-Defensive team for the second straight year after his 91 blocked shots gave him the number 1 and 2 positions on the school's single-season blocked shots list. In 36 games, he averaged 13.8 points, 8.6 rebounds and 2.5 blocks per game. In his senior season, Jordan was named to the All-Conference USA second team and NABC Division I All-District 11 first team. In 35 games, he averaged 15.4 points, 9.1 rebounds and 2.4 blocks in 29.8 minutes per game. He finished his career as the only player in Conference USA history to record at least 800 rebounds and 300 blocks, while setting the school and conference record for blocked shots with 333 blocks.
Professional career
2010–11 season
Jordan was selected with the 44th overall pick in the 2010 NBA draft by the Milwaukee Bucks. On July 8, 2010, his rights were traded to the New York Knicks in exchange for cash considerations. He joined the Knicks for the 2010 NBA Summer League. Later that year, he signed with KK Hemofarm of Serbia for the 2010–11 season.
On October 11, 2015, Jordan signed with the New Orleans Pelicans. However, he was waived by the Pelicans on October 16 before appearing in a game with them. On December 15, he signed with Jiangsu Monkey King of China for the 2015–16 CBA season. After the end of the Chinese regular season, on February 20, he signed with Baloncesto Sevilla of Spain for the rest of the 2015–16 ACB season.
2016–17 season
On October 31, 2016, Jordan signed with Joventut Badalona for the rest of the 2016–17 season.