Based on my experiences ticketing at AKL by QF that would not be enough time for your xONEx to be reissued. QF might be willing to process it some other way.

With fees to reissue, service fees (from QF to reticket and from NZ to refund even a fully flexible fare) you are probably better off financially booking a cheap NZ fare AKL-(CHC-)ZQN on a flight with a minimum 2:30 connection.