It seems Adobe After Effects movie post processing tool allows import of .vpe files (Photoshop Extended vanishing points) and as such it is likely it can be somehow used in a new or edited project file (.aepx). However, we couldn't find anything specific regarding this conversion.
Convert Adobe Photoshop Extended vanishing point file to Adobe After Effects XML project.
We found one software available in the database for this conversion.
Microsoft Windows software - convert vpe to aepx on Windows
Movie post-production program from Adobe
Convert from vpe 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.