Jackcessというライブラリがあるようです。JDBC-ODBCブリッジを使うより簡単そうです。ライセンスは、LGPLだとのこと。

Jackcess ia a pure Java library for reading from and writing to MS Access databases. It is not an application. There is no GUI. It’s a library, intended for other developers to use to build Java applications. Jackcess is licensed under the GNU Lesser General Public License. Take a look at our Frequently Asked Questions for more info.