As both the SHP and ADF file types are used by ESRI ArcView, it might be possible that there is a way how to convert SHP to ADF. However, we did not find any information that could support this theory.
Convert ESRI ArcView shape file to ArcView ARC/INFO coverage data.
We found one software available in the database for this conversion.
Microsoft Windows software - convert shp to adf on Windows
A GIS application used to work with geographic data
Convert from shp 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.