You can export traverses as shapes both from the Traverses Manager and from a drawing.
TPC writes one Polyline shape record to the Shape file for each selected traverse. The database file contains one record for each traverse in which the name of the traverse is stored.
When you export a drawing as Polylines, TPC writes each tagged traverse (these are the traverses that show up in the drawing) as a Polyline shape, plus any other drawing objects that qualify as a Polyline shape. This differs from exporting just the traverses from the Traverses Manager.
See Exporting Drawings as Shape Files.
Using Shape Files
What Shapes Are Supported
Exporting Point Shapes
Exporting Traverse Shapes
Importing Shapes into a Survey
Importing Shapes into a Drawing