Would you consider pond fish pets?

Of course people who own ponds consider the fish in it as pets. Pets don't have to be super smart to be pets.
However I believe the fish come to the surface during feeding time only out of habit. Some people had done experiment of using a bell or simply clap the hands before every feeding, and after a while the fish will react to those sound even when you do not feed them afterward.

Eat out of your hand is something else, I would say they are extremely hungry or simply couldn't resist the food.

The most common pond fish are koi or goldfish. Plenty of oriental ponds are like that. Although people do not normally pet these fish, they make great sight in the garden.