Yes, they can.
But when considering training there, take into account all the living costs etc. It is very expensive to live in New Zealand, much more so than in Australia. You won't be able to get any student benefits as far as I'm aware, so you'll be paying everything bar the flying yourself.
Considering that they allow 18 months for the Diploma (It can be done in less obviously), It may be worth just going for the Degree.
Aside from that, Im a New Zealander and have my name down for the program.
