Technically no, however you'll have to edit the DB directly to make it work, and I don't know if you want to do that...
If you do:
[*]Edit the wp-config.php to point to that database, with your user ID and password.
[*]Login to phpMyAdmin for that database and locate the options table (normally named wp_options, but you they used 1-click, it will be wp_[string]_options).
[*]Look for the options named home and siteurl
[*]Change both of these to the new URL
That should get you back up.