Yes, they can, and most fly well if they don't get too fat! All turkeys, including domestic ones, are capable of flight, though they rarely fly very high. Turkeys typically fly up to the height of a tall tree or lower, but they can fly faster than 55 mph. Pretty impressive! Wild turkeys are capable of longer sustained flight, however, and can travel several miles in search of food. Domestic breeds tend to be much heavier than wild birds, and this can make them less likely to fly and more prone to injury dropping to ground level. Even so, they will easily hop fences, so be prepared to clip wings to keep them in place.