Not to be a downer, but I don't think you can count on ever being able to pet the duck. I've never owned a duck or a chicken that likes to be petted. A select few of them have tolerated being held, but they were hatched artificially and cuddled daily from birth.
Fowl aren't really that kind of pets. They are wonderful in many ways, but if you want cuddling, get a mammal.
Fowl aren't really that kind of pets. They are wonderful in many ways, but if you want cuddling, get a mammal.