It's possible.....but I'd look very closely for other sources.
What have you eaten, where have you been...anyone else sick that's eaten the same things from the same places?
Often people first want to blame the chickens, but then find another source of food poisoning or it could be something viral.
There are germs everywhere. Many folks seem to think the 'anti bacterial' hand washes and 'sanitizers' will take care of everything, but in reality they're next to useless and give a very false sense of security. They can actually cause resistance in organisms, just like over use of antibiotic medications have.
The best way to get contaminants off your hands is to use regular soap, LOTS of water and vigorous mechanical action (rub all surfaces of your hands and fingers together under running water, after liberally soaping them, for at least 10 to 20 seconds-count them out, it's longer than you think). Use a brush around and under your fingernails.