No, microwaves cannot heat and cool at the same time. The primary function of a microwave oven is to generate electromagnetic waves in the microwave frequency range, which excite water molecules and other polar molecules in food, causing them to vibrate and generate heat through friction.
The cooling mechanism, on the other hand, involves the removal or transfer of heat from an object to its surroundings, typically using a cooling medium such as air or liquid. Microwaves do not have a built-in cooling mechanism, and their design is focused on generating and controlling the microwave radiation to heat food, not to cool it.
It's worth noting that some microwave ovens have a built-in fan that operates to cool the internal components of the microwave, such as the magnetron (the device that generates the microwaves). This cooling fan helps to prevent overheating of the microwave's internal parts during operation, but it is not designed to cool the food being heated.
If you need to cool food or beverages, it is best to use other methods such as refrigeration, placing them in a cool environment, or using ice or cold water baths.