Queen was born Feb. 25, 1997 in Baltimore, Maryland. He started with basketball at the age of four by shooting at a hoop in his garage. He said his best sport growing up was baseball, where he played shortstop and pitcher. He also played AAU football for the FAB Phenoms. He spent his high school basketball career with North County High School. After a redshirt freshman year at a community college, he eventually started playing at the College of Marin in Marin County, California. In 14 games, he averaged 21.3 points, 7.9 rebounds and 2.4 assists. Upon his family's advice, he transferred as a sophomore to New Mexico Military Institute. He averaged 26 points, 7.3 rebounds and 2.2 assists and was selected to the All-Western Junior College Athletic Conference team. Queen transferred to New Mexico State for his junior season. He was a top reserve and averaged 7.8 points, 2.9 rebounds and 1.7 assists. He was named WAC Tournament MVP after scoring 27 points in the title game against Grand Canyon. As a senior, he averaged 13.2 points and 5.2 rebounds. He was named to the Second Team All-WAC.