Can you passout from food poisoning?

Yes: Yes you can. However you may not want to assume that was the problem. It would be wise to have a physician examine you.

Possible but...: If one had food poisoning which resulting in severe, intractable diarrhea, one could be very dehydrated and orthostatic (becoming hypotensive when standing), one might end up having a syncopal episode (passing out). Also if you had severe nausea/vomiting episodes and became vasovagal, it could potentially lead to passing out. However, these would be extremely rare and unusual occurrences.

No alone: Anaphylaxis from food allergy, and diarrhea / vomiting from food poisoning can cause unconsciousness. If a person simply passed out / had a syncopal attack, by itself, look for a cause other than food poisoning.