Restore hacked website from database without source

Question

I have a database backup from a hacked drupal site. The source code of the hacked website has been lost. When I try to make another installation of the site working using the old database, I have the following error:

Fatal error: require_once(): Failed opening required 'C:\ampps\www\drupal.fox\drupal/sites/all/modules/date/date_api/date_api.module' (include_path='.;C:\php\pear') in C:\ampps\www\drupal.fox\drupal\includes\bootstrap.inc on line 3168

How could I avoid such errors? is there any way to make drupal runs temporarly without missing modules or even is there a tool that able to download and install missing modules?