Yes, but not one of your choosing.
At the time of the last migration, signing up was optional, and you didn't know where you'd be going until after registration was already closed. This was so that SE could load-balance the two new servers they put into place (was three initially). The only near-guarantee they made was that everyone leaving one server would go to the same place, so that migrating Linkshells and friends would not get separated.
And again, this was a *very* limited-time thing.
If you're holding out hope that you'll eventually be able to move your character to...say...Asura, then forget it. Odds are *very* slim that they'll ever let you go where you want on a whim.