Of course you can do this, but it would be difficult. There are ID fields in the records that link them to other records, for instance, comments link back to an album or image by ID. Since you have two different databases, you may have conflicts in these IDs that you would first have to resolve.
If you don't need comments or tags from the albums you can just add the data from the album and image tables to a new database, then upload your images. Leave the other tables empty.
Comments
If you don't need comments or tags from the albums you can just add the data from the album and image tables to a new database, then upload your images. Leave the other tables empty.