Yes, I was able to do this. Aside from this travel rexord document, I requested INZ (after being on hold for more than 1 hour) to make sure that I don't have any other client number or account that is potentially associated with me, or my prevous and current passport (I don't, I was told I only ever had one client number and one account for all the visa I have held). I sent the travel record document to DIA together with a copy of my resident and pr visa to
complaints@dia.govt.nz and still waiting for anything to happen aside from an acknowledgement email. Before this was told over the phone from DIA (again, after waiting for more than 1 hour on hold) that I needed to complete full 5 years of residency/ or pr to be eligible to apply - I was able to confirm that this is not correct. It's like a circus having to go on hoops and ending up with nothing.