SolidWorks support export to PDF format, so it is likely it can also export the CAD drawings from EDW files. It doesn't seem any other 3rd party software supports the EDW file, so there is no other direct way how to convert EDW to PDF except for Solidworks software.
Convert eDrawings SolidWorks Corp to Adobe Portable document format.
We have found one software suitable in our database for this conversion.
Microsoft Windows software - convert edw to pdf on Windows
A 2D and 3D CAD construction software
Convert from edw file format
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.