Yes and No.

If you understand by Anonymous access by accessing an account without user and password or by using User=anonymous and pass=any e-mail address the answer is No,our Policy expressly forbids the use of this kind of connection.

If you think in distributing "Public Files DropBox" to your partners or friends that do not need the presence of a user and password expressly known by the user Yes,is possible.

This option means that some controlled number of users can access without need of user and password from their side some well-controlled data.

For this option please check our Public Files DropBox section in Included Features.