Yes, as long as you are using the same control panel. Please follow the normal order procedure. Once you receive the welcome email please contact support via email at firstname.lastname@example.org for migration assistance.
When requesting migration assistance, you'll be asked for the following information:
IP Address: Username: (root if at all possible) Password: SSH Port: (If your old host allowed access) List of account usernames to be transferred:
If you are not using the same control panel, you may be interested in our article about manual migrations.