Highly likely. Depends on the dog and how you go about training it, but dogs see chickens and their prey drives have a tendency to go into overdrive. As one person on youtube said it, a chicken is basically a giant squeaky toy. I would say if the chicken's are roaming, have a temporary holding pen for the dog. Chickens in pen, dog free. Chickens free, dog in pen. That kind of mentality, unless you want to go through the trouble of getting your dog chicken friendly. Lots of resources available to help you do that, but it's usually not easy.