Are there short-term courses like one or two year MS degree courses available where I can study and also work part-time in New Zealand for a Master's?

Yes, in New Zealand, you can pursue master's degree programs that last one to two years. These allow you to study full-time and work part-time - up to 25 hours per week during academic terms, and full-time during scheduled breaks.

If you choose a Master's by Research program, you are allowed unlimited work hours while studying.

Part-time study options are generally not available for international students on student visas; full-time enrollment is usually required.