No, I don't think you should have access to the hair salons' records. How they select clients is their business - only employees and clients of that salon need to know that. Now, if a client or an employee comes to you and offers to get you an appointment, that's different and I have no problem with that. I don't think any of us on this board do. That's the way it should be.
Don't you know anyone in your family or community that's had hair transplants? They'd be better resources than random people on the internet.