Domestic turkeys may run or even fly away. This is possible and you, therefore, need to consider your setup and how you keep them. If you get your turkeys as adults, you should pen them in so that they do not have enough room to run and get over a fence. After 3-4 weeks this can be relaxed. This is because, in this time, your birds will realize that you provide food and care. However, if you do not provide enough food and your turkeys are not penned in, they may wander or attempt to run away in search of food.