Without the data transfer utility there isn't a way (that I've ever heard of) to convert the device files to an SSF.

Trimble data files on the device consist of 9 individual files ( .car; .dd; .gic; .gip; .gis; .giw; .gix; .obs, and .obx) that the transfer wizard takes and converts into a single SSF that you work with in Pathfinder Office.  Without that utility I believe you are out of luck.

If you are having trouble connecting to the device (but the utility itself is operational) there are other options.  For instance, you can:

 1. Copy the files from the Windows Mobile device (\\Device\My Documents\Trimble - copy everything with the filename you are looking for) to a folder on your computer 
 2. Set up a connection to that folder with the Data Transfer Utility.  (Click "Devices..." then "New..." then "GIS Folder")
 3. Then you connect to that folder instead of the device and complete the transfer (actually more of a conversion at this point) from there.