No, you should not cook with an aluminum pan in a microwave oven. Microwaves work by exciting water molecules in food, causing them to heat up and cook the food. Aluminum pans do not absorb microwaves and can cause sparks, fires, or damage to the microwave oven. Additionally, using metal in a microwave can be dangerous and is not recommended.
As for using aluminum foil as a cover for a dish being heated up in a microwave, this is also not safe. The microwaves cannot penetrate the metal, which can cause the foil to spark or catch fire. It's essential to use microwave-safe materials like microwave-safe glass, ceramic, or plastic covers when heating food in the microwave.
To avoid potential hazards and ensure proper cooking, always follow the manufacturer's instructions and use microwave-safe cookware and coverings. When in doubt, refer to the microwave's user manual or guidelines provided by the manufacturer for safe cooking practices.