No.
When the outside air temperature has been less than 60 degrees within 24 hours of the inspection the air conditioning system cannot be tested.
This is not just a limitation to a home inspection. Most HVAC technicians will not test a/c systems when it’s cold outside, either.
The reason? To put it plainly the refrigerant that runs through the a/c system can harden. If the system is operated after this happens, it could cause damage.
This is why many home warranty companies recognize include a cold weather clause in their contract.
This protects you when you buy a home in cold weather in case the a/c system does not work when you try to use it in the spring.