Turkey poults are susceptible to blackhead which kills them. Blackhead lives in chicken worms. Our turkeys run around with the chickens all day but are not interested in going into the house at night. We have built them a turkey sized house which they are not interested in either. If they hatched any eggs the young would need to be kept on chicken free ground until they are mature when they would be strong enough not to get blackhead.
So the answer to your question is yes and no. I was going to fence off a bit to keep the turkeys in when they are breeding but i've never managed it.