there is a chance to work as a PT without registration
Sorry, but the short answer is: no.
It is illegal in NZ to work as a Physio without registration (please refer to the website: The Physiotherapy Board of New Zealand > Registration), and no DHB will take you as an unregistered Physio.
You can try and get a job as a Physio Student or Physio Assistant, though. However, as you can imagine, the job role is very different , as is the pay.
The work permits etc. have got absolutely nothing to do with the professional registration Boards of any medical profession.
Otherwise, you could sit your exams in Australia and then get to NZ, but I don't know whether that would be any faster.....
Good luck,
Fyzzio