Yes. NZ Superannuation is not income-tested. However, it might affect the tax you have to pay on your combined income.
However, if your spouse or partner doesn’t qualify for NZ Super and you chose to include them in your payments, before 9 November 2020, this may impact how much NZ Super you receive.
You can learn more here about how other payments, including overseas pensions, affect NZ Superannuation.