Nope. You will create a customized dial plan and/or script that will check for the agent that this client of yours is allowed to "listen to", get that agent's meetme room, and then dial the number for that meetme room. Without in any way giving the "client" that number or the ability to dial that number directly.
Pure Asterisk (or Asterisk with Scripting, but outside Vicidial completely). An Asterisk Professional can write a dial plan that will do this or you can research on the asterisk guru sites how to do it.
And that number was just a random number demonstrating that ANY number could be set to have the desired response. In fact, you could have him dial "1" and he'd get "His First Agent" (Scripting is a form of programming, you CAN do anything with it ...)