Is it possible to do a Masters dissertation at a different university? I am currently enrolled in a masters program and am struggling to complete my dissertation as I have no real interest in what I am doing and have lost my motivation. I have completed all my coursework to allow me to gain a PGDip and would like to know if it is possible to transfer and my complete my dissertation at another university in the United kingdom?
You need to consult your university regulations as well as your department for advice on this. My gut instinct would be that it should be possible, but you need to make sure you follow the appropriate rules. I can just about guarantee that you'll need to find someone at your home university who will be willing to act as the "internal" supervisor for your thesis.

However, the possibility of being able to do it and actually surmounting the obstacles and being able to do it are quite different. It can be very hard to get another research group outside of your "home" university to be willing to take you on short term as a master's student—primarily because they probably have no idea who you are, and how reliable a student you will be. Nobody really wants to take a risk on a completely unknown quantity based on a "cold call" email.

So your best bet would be to work with the faculty in your department to find somewhere else to do your research.