If you have only been living together for 3 months a visa based on partnership is very unlikely, but worth asking immigration nz. Would your girlfriend consider trying to get a student visa - the academic year is just starting and there could still be opportunities? Happy to give advice for FREE - I am
not trying to promote my business in any way here. Where in NZ are you based? I worked in a Polytechnic in NZ for 9 years unti last year and still have contacts. It wold all depend how quickly Seoul could process a student visa. Karen