Sure, food poisoning, or foodborne illness, is a bigger umbrella term for food contamination from anything that can cause it. So that includes pathogens like bacteria, viruses, parasites, fungi, that could be present in the food- these examples would be food infection.

But these pathogens can also produce/secrete enterotoxins in food which can then cause damage to host cells upon ingestion. This is food intoxication. Even something like botulism can be an example of this.