Long-Term Future Realm Switch?

Hey, guys! :)

I'm new to WoW, and coming off Warcraft 3, I came here because I wanted to experience the world pre-Cataclysm at my own pace, and so far, I'm having a great time, but, I was wondering...
If, when I'm happy with what my characters have experienced in WotLK I then want the story to advance, would it be theoretically possible to request a realm transfer to your MoP server to carry the story on?

Thanks in advance for any responses!

That's a no.

Aw, bugger.
Thanks anyway! Guess I'll just have to have new protagonists going into the Cataclysm. Good opportunity to try the new races and class, I guess. :)