Hi K.,
If I understood the question right, yes, you can upload only the database+images backup and connect it to the engine copy that you can get from elsewhere. That new website won't have the extensions you were using on your old website, however.
The ideal scenario would be you uploading the old website code via FTP (which will include the engine that you were using at the time, as well as the images, extensions and vqmods you may have had at the time), and then separately upload the database dump, and finally, connect the website to the database via the config.php files.
It looks like you've tried this, but something didn't work. Can you elaborate?
Does this make sense? Let me know if it doesn't
