Except for 2 budgies, ours are all rehomes from various situations, good & bad. One 'zon went through 4 homes in 3 months [through no fault of his own] before landing here in 2011. Several people have said, "I want THAT relationship!" when they see his eyes closed with bliss while I am preening his feathers. He was eight when he came here. His first home was long-term, then he was passed around & should have had reason to suspect I wasn't going to be around long, either. But from the moment I asked, "Pet the birdy?" and he offered his neck for a scritch, we were together.
You can achieve a bond with any parrot that wants to bond with you. Getting a baby won't guarantee that bond & getting a rehome won't necessarily prevent it.
BUT get out there & meet a lot of parrots. I was 100% sure I wanted a Grey - still love them. But they pick their humans as surely as humans pick their own mates. "My" Grey is sitting on my husband's lap, soaking up his affection. If I try to put fingers to feathers, I will get bitten.
The amazon I mentioned? My husband's choice. I wanted nothing to do with amazons until I met this one.
Funny how things work out.