Is it possible to access an SQLite database from JavaScript?

I have a set of HTML files and a SQLite database, which I would like to access from the browser, using the file:// scheme. Is it possible to access the database and create queries (and tables) using JavaScript?

Actually the answer is yes. Here is an example how you can do this: http://html5doctor.com/introducing-web-sql-databases/

The bad thing is that it's with very limited support by the browsers.

More information here HTML5 IndexedDB, Web SQL Database and browser wars

PS: As @Christoph said Web SQL is no longer in active maintenance and the Web Applications Working Group does not intend to maintain it further so look here https://developer.mozilla.org/en-US/docs/IndexedDB.

SQL.js

EDIT

As @clentfort said, you can access SQLite database with client-side JavaScript by using SQL.js.

You could use SQL.js which is the SQLlite lib compiled to JavaScript and store the database in the local storage introduced in HTML5.