Sochan was born May 20, 2003 in Guymon, Oklahoma. His mother, Aneta, was a Polish basketball player who met Sochan's father, Ryan Williams, in Oklahoma while she was there to study. Sochan spent most of his childhood in Milton Keynes, England, where he began playing basketball. He began his high school career in La Lumiere School in Indiana but left America due to the COVID-19 pandemic. Sochan has represented both the junior and standard Polish national basketball teams. On the junior under-16 team, he won the 2019 FIBA U16 European Championship Division B and was named Tournament MVP. During the EuroBasket 2022 qualification, he became the youngest player to ever take the floor for Poland, playing 29 minutes and posting 18 points and a block that sealed the victory for the country. During the 2020-21 season, the wing played professionally for Orange Academy Ratiopharm in the German Pro B League, where he averaged 10.7 points, 5.2 rebounds, 2.0 assists, 1.4 blocks and 1.1 steals in 25.4 minutes. Sochan played collegiately at Baylor in 2021-22, where he averaged 9.2 points, 6.4 rebounds, 1.8 assists and 1.3 steals in 25.0 minutes. He was named to the Big 12 All-Freshman Team and earned the Big 12 Sixth Man Award. In the 2022 NBA Draft, he was selected ninth overall by the San Antonio Spurs.