I was thinking the same.
https://www.immigration.govt.nz/new-...s-visa-holders For this visa, we know from experience that INZ take applications seriously that have around three months' evidence of living together. And here
https://www.google.co.uk/#q=site:enz...tnership+proof are old threads with discussion and examples of what can be used as that evidence.
I know you say you don't feel like asking him for things, but as you're having his baby, if he doesn't help you out with this, and whatever visa you have at the moment can't easily be renewed, he could be faced with seeing you have to leave NZ.