I haven't had trouble with Amazon since they quit using the contract drivers. When they did that I had the same problem with getting packages for people with the same house number, but one street over.
I've always thought that getting mail order prescriptions was a bad idea. I don't want prescription meds sitting in my mailbox or on the front porch just waiting for someone to take them. And what if they are misdelivered? You're out of meds and they have no idea where your refills are. It doesn't sound like a good plan to me.