It might be possible to simply export ADF GIS files from opened ArcView APR projects. If that is not possible, then it is unlikely other program can do that, because APR file does not contain any map data, just references to them.
Convert ArcView project to ArcView ARC/INFO coverage data.
We found one software available in the database for this conversion.
Microsoft Windows software - convert apr to adf on Windows
A GIS application used to work with geographic data
Convert from apr 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.