Yes, you can get food poisoning from eating reheated rice. It's not the reheating that causes the problem, but the way the rice has been stored before it's reheated.

How does reheated rice cause food poisoning?

Uncooked rice can contain spores of Bacillus cereus, bacteria that can cause food poisoning. The spores can survive when rice is cooked.

If rice is left standing at room temperature, the spores can grow into bacteria. These bacteria will multiply and may produce toxins (poisons) that cause vomiting or diarrhoea.

The longer cooked rice is left at room temperature, the more likely it is that the bacteria or toxins could make the rice unsafe to eat.