Migrate AEGIR Drupal 7 web site without FTP access

Hi all,

Is there a way to transfer a Drupal 7 website hosted on server with AEGIR, without FTP access?

We have:
– The website admin access
– The ability to run passthru PHP code from the website

We can’t:
– Get any support from current hosting company
– Install module without FTP info
– Retreive FTP access

Thank you for your time! 😉

Drupal version: 

Source: https://www.drupal.org/taxonomy/term/22/feed