Never tried, but it should work this way:
you must ATTACH another database at the SQLite level, so sqlite can access it directly.
For example, you open the database, which should be toDB, and you issue the following command (via execSQL)
ATTACH DATABASE '/data/data/your.package/databases/dbname.db' AS fromDB
you should now have access to another database and you can do
INSERT INTO main.tableName SELECT * FROM fromDbB.tableName
"main" .
Context # getDatabasePath, , .