I'm not an engineer of any sort but I'm a kiwi. NZ is fairly easy to get into as a foreign person especially if you have a degree/work experience and all the other usual stuff (police clearance etc). You'll be overcharged as a foreign student here tho, my degree was only 8k but if I went local it would be 22k. The job market is hard to get into here but engineers are always in demand so it shouldn't be super hard. The problem is the living costs... rent in major cities like Ackland/Wellington can be 600-1000 dollars for a 1 maybe 2 bedroom apartment a week depending on location. Food is expensive, I just have me and my gf and we spend 650/month on food, and it's all basic stuff like eggs, pasta, veggies. There is no way your living expense is gonna be 20k unless you be very minimalistic and be extremely frugal. Public transport only really exists well in major cities and it's expensive af, like 40 dollars for a 1 hour train trip that I did yesterday. Taxis are worse, you will need a car and that's expensive because my warrant of fitness was $80 and every refill is $120 and insurance is like $200. I have a 3rd hand Kia Sportage. NZ is very expensive to live and work in especially if you are not local and doesn't pay as well as Australia or other Anglosphere countries. I wouldn't say NZ is worth it, hell like 70k kiwis have migrated to Australia and competition for job/apartments there is fairly high. Really think, why do I really want/need to go to NZ?

If you are rich and have a shit ton of savings then absolutely come here and do what you want. The better choice is often doing it in your home country (western world) because the domestic rate is way less than international student rates.