Most dogs (and cats) are large enough to be safe from hawks and owls. Even very small dogs may be too heavy for a hawk or owl to carry, although it's still possible that large raptors might attack them.
How big of a dog can a hawk pick up?
THE PETS THAT ARE IN REAL DANGER ARE THE ONES WHO ARE 12 POUNDS AND UNDER. THESE ARE THE PETS THAT HAWKS CAN SWOOP DOWN AND GRAB. DO NOT LEAVE YOUR PETS OUTSIDE WITHOUT SUPERVISION.
Can a hawk grab a dog?
In the United States a number of hawks and owls are large enough to attack a pet, though most are unlikely or simply unable to carry a dog or cat into the sky with a cartoonish flourish.