Few things are more frustrating than to have to ask the client how do they want this or that detail via an account manager. Especialy since the account manager usualy knows next to nothing about programming and nothing at all about the client's domain. No specs are ever complete and having someone from the client company/department you can go with your questions to is indispensable. If you have to ask your account manager to ask their account manager to ask someone who actually has an idea what they are doing and your question and their reply is mangled by those two managers, you are wasting time. Since you either have to wait or switch to some other part of the application. And such switches slow you down.

So, no, clients should not have programmers' phone numbers, but programmers should have the email/ICQ/AIM/Y!/... of the client's employee they can contact.