I assume you are talking about financial or hr information that is being put in a table and the powers that be dont trust the programmers/dba with the information.
you can deny access to that table easily enough, however anyone wity sysadm level will be able to see it. You should be using views so no on sees the actual table anyhow.
you need to explain to them that the dbas will need access to the information to do your job. In dev and test enviorments, use dummy data for the table, or alter the info that can be used to identify a person with the information. In production, restrict access to the DBA's. remove permissions for everyone else to that table. Get a nice round of non discloser agreements and give them out to everyone to sign. If they dont trust the programmers/dbas they need to get new programmers/dbas who they can trust. if they trust no one, tell them they cannot have it.
At my company i am the dba. I have full access to all data in the sytem including hr, payroll, budget and a bunch of other things. i go a very long nda that i had to sign. They trust me knowing i wont speak about the info expect with those who already know it. If they could not trust me anymore, they would get someone else who they could.