How to use SQLite database from MS Access?

Does a standard library exist in VBA to used sqlite database?

No. Access and VBA do not have any native capability to connect to SQLite data sources.

You would have to install additional software to allow Access to use SQLite.

This question popped up in my recent (2021) search on the same topic, and the answer has changed since 2010.

There are now several ODBC drivers for SQLite. Here are two (I have no affiliation with either):

Free: http://www.ch-werner.de/sqliteodbc/

Paid: https://www.devart.com/odbc/sqlite/download.html