Domzalski grew up in Lovington, New Mexico with future Hall of Fame NFL linebacker Brian Urlacher.
There Urlacher describes Domzalski as "a gifted athlete who could do it all" and who brought national attention and excitement to Lovington with visits from famous college coaches including Bobby Knight of Indiana, Roy Williams of Kansas, Mike Krzyzewski of Duke, and Jim Harrick of UCLA who visited their small town of Lovington to check out Taymon in person.
Highly recruited, he turned down offers from UCLA, Kentucky, North Carolina, Kansas, among others, to attend Duke University.
Beyond being named to the Parade All-American and McDonald's All-American basketball teams with Kevin Garnett, Paul Pierce, Chauncey Billups, Vince Carter, Antawn Jamison, and Stephon Marbury, Domzalski graduated at the top of his class at NMMI and was named the 1995 Dial Award Winner as the top male student-athlete in the United States along with the top female student-athlete, Olympic gymnast Shannon Miller.
Through his years at Duke he played with Shane Battier, Steve Wojciechowski, Jeff Capel, Nate James, Roshown McLeod, Elton Brand, Corey Maggette and was coached by Quin Snyder, Johnny Dawkins, and Tommy Amaker.