To move an account to another server you need whm or ssh but if account is big in size
then it is not possible by whm you need ssh by root access.
Follow the commands below:

TO PACK ANY ACCOUNT:

/scripts/pkgacct nameoftheuser

TO MOVE ONE TAR FILE TO ANOTHER SERVER. IT REQUIRES SERVER ROOT PASSWORD:

scp /home/name_of_tar_file root@IP_DESTINY_SERVER:/home/ name_of_tar_file

Restoring Packed Account:

/scripts/restorepkg nameoftheuser

Hope you all like this