It would really depend on what other elements are within the NZDF. Unless the RNZAF gets some A400M's as replacements for either the C-130H or B757 or perhaps picks up a few 2nd hand USAF C-17's... That would really limit where any Kiwi CH-47 Chinook's could be deployed to without requiring outside assistance.
The Canterbury heli deck looks large enough to fit a single CH-47, but that would really only permit either lily-padding or using the Canterbury to transit into or out from an area of operations. Relating to that, given the very limited self-defence capabilities of the Canterbury, that would mean the NZDF could potentially deploy a single CH-47 to a relatively benign area of operations.
I do think that some time in the near future, the NZDF will want to have a medium/heavy rotary lift capability, but right now I do not see how the NZDF could organically support such a capability away from NZ.