You can take anything from the data and use it as "information" for your faxes. So if you customer name is in the data then yes, you can use it as an information tag.

To add an information tag...

Using the data selector and choose the text you want to show, then click on the archive/fax/e-mail tab and choose information (at the bottom). Please note that you can add as many of these as your like and they will be added to the subject line of your fax.