It appears that avi to ppj conversion is actually not doable in the proper conversion sense, but it is doable. You can import .avi video to Adobe Premiere Pro and saved it as a .ppj project. Sadly, this will only work in Adobe Premiere 6 or older and cannot be done using latest edition of the software.
Convert Audio Video Interleave movie to Adobe Premiere 6 and older video project.
We found one software available in the database for this conversion.
Microsoft Windows software - convert avi to ppj on Windows
A timeline-based video editing software from Adobe
Convert from avi 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.