these are reasons you would
not get a visa
http://www.legislation.govt.nz/act/public/2009/0051/latest/whole.html#DLM1440598
If you don't fall under those categories, they may well consider a character waiver - I don't think they're myuch bothered by minor offences or ones that happened years ago; but note the last clause:
https://www.immigration.govt.nz/about-us/site-information/glossary#glossary-c
When we make a decision about whether we'll grant a character waiver, we take into account things, like:
how long ago the event that created the character issue occurred
the circumstances surrounding the offence or incident
the person's circumstances, including their ties to New Zealand and reasons for applying for a visa
the nature of any information falsely provided or withheld during a visa application (if this applies), and whether the person deliberately intended to mislead or withhold information from us.