Yes you can. But please read this from new zealand immigration website:
Timeframes for Family Capped Applications
New Zealand carefully plans allocati...on of residence places.
The Government's annual residence programme gives priority to skilled and business migrants and the partners of returning New Zealanders. The family capped stream (which comprises parent, adult child and sibling residence cases) is currently allocated 4,950-5,500 places per year. Demand for these places currently exceeds supply.
There is a current waiting time of 18-24 months for a place to become available within the cap. In practice this means that an application will usually take from 18-24 months from the time of lodgement to be allocated to a case officer for assessment.
If you and your family wish to move to New Zealand to live, you will need to apply for residence in New Zealand. Your brother, sister or parent must be eligible to sponsor you.
If you have particular skills, you may like to find out about our Skilled Migrant Category.
Or you may decide you’d rather apply to work here temporarily.