On the server where you have SSH access
Put the website in a tar file:
Code:
tar -czvf /tmp/webisteFile.tar /var/www/websiteFolder/
On the server where you have FTP access
Upload the websiteFile.tar and the create a php script with the following content:
Code:
<?php
system("tar -xf websiteFile.tar");
echo "finished!";
?>
Put this script in the same directory as where you uploaded the tar file, and then execute it by accessing it through the web browser.