Paras is the son of Filipino basketball player and actor Benjie, a two-time PBA Most Valuable Player and the only player in PBA history to be named Rookie of the Year and MVP in the same season, and former actress Jackie Forster. He was named after NBA legend Kobe Bryant, who died in a helicopter accident in 2020. Paras older brother, Andre, is also a basketball player and actor. He also has two half-brothers from his father's second marriage, Riley and Sam, and two half-brothers and a half-sister from his mother's second marriage.