New Zealand Law
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Once you have left New Zealand they cannot do anything. This may be a problem coming back to New Zealand, but it wont affect travel anywhere else in the world. But if they charge you with an offence before you leave then you have to deal with that beforre you can leave.
Do you need to get more documents from your accountant or other places and will it take longer than the two weeks?
Perhaps tell them it will take longer than two weeks to get the information to them, as you dont have it for now.
ASk for a month perhaps