Explanation
No. Cooking or reheating food in a household microwave oven does not make it radioactive. Absorbed microwave energy becomes heat.
The FDA explains that microwaves are non-ionising radiation and heat food through their interaction with water molecules. Health Canada independently confirms that they do not make food radioactive and do not remain in it after the oven is switched off.
This does not mean microwave cooking has no hazards. The FDA describes risks such as burns and uneven heating. Those are separate issues from radioactivity: food remaining hot after cooking does not mean it contains trapped microwaves.
Key takeaway
Microwave cooking leaves food hot, not radioactive. Heat and radioactivity are different things.