No. Basketball player Derrick Rose is not related to former basketball player Jalen Rose. Currently, there are estimated 176,664 people with the last name Rose living in the United States, according to Howmanyofme.com.
Derrick Rose was born in and grew up in Chicago, Illinois, while Jalen Rose was born in and grew up in Detroit, Michigan. They share no common relatives. Derrick Rose was born on October 4, 1988, while Jalen Rose was born on January 30, 1973, so Jalen is 15 years older than Derrick. Neither of them are related to former NBA player Malik Rose.
Jalen Rose is the son of former basketball player Jimmy Walker. Jalen is known for being a member of the "Fab Five" recruitment class at the University of Michigan, who made it to back-to-back NCAA Championship games in 1992 and 1993. Jalen played for the Indiana Pacers more than any other team. With the Pacers, he made it to three consecutive Eastern Conference Finals and one NBA Finals in 2000.
Derrick Rose is currently considered one of the best players in the NBA and is expected to be a perennial All-Star. He's known for being a part of the 2007/2008 Memphis Tigers basketball team that lost the 2008 NCAA Championship game in Overtime to Kansas. He left college after his Freshman year, being selected as the 1st overall pick of the 2008 NBA Draft by the Chicago Bulls.