The Epic can connect to "Exchange" accounts, but appears not to use Active Sync to accomplish this like the iPhone, HTC Evo, T-Mobile Touch, etc.

As a result, you cannot move emails from your inbox to folders in Exchange and turn on the "out-of-office".

When you click on the Epic Email Settings > Advance Settings > Out-of-office settings, it says "Feature not supported" even though you have the button for it!