Considering DXF format contains vector graphics, much like Adobe FreeHand drawings (for example .fh9), it should be possible to transform and convert fh9 to dxf. The problem nowadays is usually in finding a program that can work with older FreeHand graphics. As far as we know, a viable way for this conversion would be Adobe Illustrator.
Convert Adobe FreeHand 9 drawing to AutoCAD DXF Drawing Exchange Format.
We found 2 software records in the database related to .fh9 to .dxf file format conversion.
Microsoft Windows software - convert fh9 to dxf on Windows
A powerful vector graphics editor from Adobe
Convert from fh9 file format
The tables with software actions are a good pointer for what a certain program does with various file types and often may give users a good hint how to perform certain file conversion, for example the above-mentioned fh9 to dxf. However, it is not perfect and sometimes can show results which are not really usable because of how certain programs work with files and the possible conversion is thus actually not possible at all.
Apple macOS / Mac OS X software - convert fh9 to dxf on OS X
Mac version of Adobe's vector graphics editor