According to the Dev Guide, if it were possible to do this, you'd do it with the System class.

I see getModel(), getSerial(), get BootloaderVersion(), getFreeCFMemory(), getFirmwareVersion(), but no getProjectVersion(). :-(

My recommendation is to put the project name in the system properties and then also on a label in a hidden page in the 'Home' activity.

For example:

Page - ProntoScriptName = 'PROJECT'
Label on page - ProntoScriptName = 'VERSION'; text = "MyProjectName";

You, then, from a Button or Page Script in the application, issue:
GUI.widget('Version').label = CF.getWidget('VERSION', 'PROJECT', 'PS_HOME').label;