Pomichter was a highly rated prospect and was selected in the second round of the 1991 NHL Draft. He began attending Boston University the following fall and played well for the hockey team. Pomichter finished second in scoring for the Terriers as a freshman and helped the team earn a berth in the NCAA Tournament. His numbers declined slightly as sophomore but Pomichter missed a few games to play for Team USA at the World Junior Championships. While BU finished 2nd in the Hockey East standings and tournament once more, they were still afforded the second eastern seed for the NCAA Tournament. They handled Northern Michigan in the quarterfinals to make the Frozen Four but were soundly defeated in the national semifinal. While the season didn't end as they would have liked, BU was the only team to beat Maine that season, preventing their conference rival from posting an undefeated record.