No. You can move the sim card between devices, and your BB data plan will follow, but your emails will not. They are tied to the PIN number on your device, and not the sim card. If you switch your PIN number on your BIS/BES account, then they will go to the new device.
BlackBerry Certified System Administrator (5.0)
(7290 -> 8700 -> 8120 -> 8310, with Robbers) -> (8130 -> 9530 -> 9700 w/ Telus)