Are there ODBC drivers available for SQLite?

ODBC drivers are indeed available for SQLite databases. You can download the version you want from this link here. The driver has been tested with the following SQLite versions:

SQLite 2.8.17 
SQLite 3.22.0
Windows NT/2000 in MS Excel 97 (MSQUERY)

The author (Chris Wolf) of the driver has wrapped the SQLite C library into a ODBC driver.

These current versions may be of interes to you:

Current version
sqliteodbc.exe [http://www.ch-werner.de/sqliteodbc/sqliteodbc.exe]
sqliteodbc_w64.exe [http://www.ch-werner.de/sqliteodbc/sqliteodbc_w64.exe]
sqliteodbc-0.9996.tar.gz [http://www.ch-werner.de/sqliteodbc/sqliteodbc-0.9996.tar.gz]
sqliteodbc-0.9996-1.src.rpm [http://www.ch-werner.de/sqliteodbc/sqliteodbc-0.9996-1.src.rpm]