Yep, this one's controversial. But it's the same as the US. If a cop has reasonable grounds to think you are breaking the law in the US they can enter your house.

Powers of entry (1) An enforcement officer may enter, without a warrant, any land, building, craft, vehicle, place, or thing if they have reasonable grounds to believe that a person is failing to comply with any aspect of a COVID-19 order. (2) However, subsection (1) does not apply to a private dwellinghouse. (3) A constable may enter a private dwellinghouse without warrant only if they have reasonable grounds to believe that people have gathered there in contravention of a COVID-19 order and entry is necessary for the purpose of giving a direction under section 21. (4) A constable exercising a power of entry under this section may use reasonable force in order to effect entry into or onto the land, building, craft, vehicle, place, or thing if, following a request, a person present refuses entry or does not allow entry within a reasonable time. (5) Any constable who exercises a warrantless entry power under this section must provide a written report on the exercise of that power to the Commissioner or a Police employee designated to receive reports of that kind by the Commissioner, as soon as practicable after exercising the power. (6) Any enforcement officer (other than a constable) who exercises a warrantless entry power under this section must provide a written report on the exercise of that power to the Director-General, or an employee designated to receive reports of that kind by the Director-General, as soon as practicable after exercising the power. (7) A report referred to in subsection (5) or (6) must contain— (a) a short summary of the circumstances surrounding the exercise of the power, and the reason or reasons why the power needed to be exercised; and (b) a description of any other action undertaken. (8) If a marae is entered under subsection (1), the person exercising the power must also send a copy of the report referred