Selected by the Washington Capitals in the 1991 NHL Entry Draft, Halverson failed to make the parent team.
He was claimed by the Mighty Ducks of Anaheim in the 1993 NHL Expansion Draft, but spent his time mainly in the minors.
Halverson returned to the Capitals organization when he signed with them as a free agent in 1998, and finally had the chance to play for the parent team when he played seventeen games during the 1998–99 NHL season.
He suffered a career-ending concussion during a September 25, 1999 preseason game against the Chicago Blackhawks.
This biographical article relating to a Canadian ice hockey winger born in the 1970s is a stub.