Well, no.
https://github.com/tootsuite/documentation/blob/master/Using-the-API/API.md#media
But:
I can get a list...ehm an array of profile statuses containing media files using the "only_media" parameter on the getting statuses function.
Indeed that does not cover media files uploaded without using these in toots which was my initial question.
Additionally, deleting files is impossible, isn't it?