Tell me, is it possible to install django-shop on Divio servers? How can I do that?
I can’t imagine how this can be done, because the structure of files in divio is different from the structure of ordinary django projects
There's nothing special at all about the structure of Django projects (or any other projects) in Divio applications.
If using the default Aldryn Django project type, then it starts with a particular project layout, but you are free to use this or not. Projects run in Docker and at the Python/Django level can be configured as you please.
See How to install Python dependencies in a project, and additional information on managing settings with Aldryn Django.