How to cout the number of SQLite databases in my app?

Is there a way of count the number of SQLite Databases in my app without the need of inform their names? I need to make the following thest:

If there is one or more Databases in the app, I want to direct the user to the login screen, if not, send him to a sync screen where he informs some personal data and the database is downloaded from my webservice.

Ps: The app is a remote version of a web based system, and unfortanatly it needs to have one database per user...