A responsible bird breeder will NEVER allow any outside people into the aviary/room where their breeder-birds are, nor to the nursery where the babies are. It's far too risky for any number of reasons, first and foremost due to the cleanliness and spread of bacteria, fungi, parasites, etc. Birds are not bred like dogs are, you can meet a puppy's parents as they are usually not kept in a "breeding room" that is kept in sterile conditions...A lot of bird breeders actually have their breeding-rooms/aviaries and their nurseries swabbed and tested every so many months. So no, they should not ever let outside people in their breeding-rooms/aviaries, nor in-contact with their breeder-birds.
That being said, if you ask for photos of the parent birds, there's no reason why they shouldn't be able to show you photos of them. But as far as contact with them, that's a big no-no.