No. Rent can be increased only once every 12 months: not within the first 12 months of the tenancy, and not again until 12 months after the last increase. The landlord must give you at least 60 days' written notice stating the new amount and the date it starts. A notice that gives less than 60 days, or comes too soon after the last increase, is not valid. If you think an increase is far above market rent you can apply to the Tenancy Tribunal. Source: Residential Tenancies Act 1986, section 24, and Tenancy Services — https://www.tenancy.govt.nz/rent-bond-and-bills/