Yes you can. Dependent children may be included in your visa application provided they are single, financially reliant & the right age, or they can apply for a visa based on their relationship to you as their parent.
Partners and dependent children of student and work visa holders can be included in the same application provided they have not applied for work rights.
Dependent children aren’t eligible for work visas.
Dependent children of NZ citizens/residents cannot be included in the parent’s application.