Does food poisoning spread ?

I know this might be a dumb question but I have food poisoning from something I ate I feel better today but my toddler drank out of my cup before I could tell him no now my anxiety is getting me scared can he get what I have because of this ? He didn’t eat what I ate that gave me food poisoning but I’m more scared because he drank out of my cup and had been w me all throughout my sickness too