It’s possible, but it’s going to depend on your setup and where you’re moving to. Luckily, most hosts offer great support. Typically, they'll guide you through all the processes you need to go through. These processes are, for example, moving your files, your database, and maybe some configuration info. When you’re choosing your host, it’s maybe worth getting in touch with their support to see what kinds of services they offer, and how much they’ll be able to help you through that.