Have no idea how to do this nor why you would want to use a Java API to do this in Access, but here's a step-by-step on how to send faxes from Access:
How to fax from Access by using the SendObject command in Access 2002
And if you google 'faxing' and 'MS Access' you'll get a number of hits leading to sites with complete routines for doing this from Access, as well.
Note to the Moderators: I answered this post hours ago, checked it after it posted for mistakes (as I always do) so I know it posted, but it apparently vanished in the interim! And this is the second time that's happened to me in the past 24 hours!
Hope this helps!
The problem with making anything foolproof...is that fools are so darn ingenious!
All posts/responses based on Access 2003/2007