Actually, yes. Typewriters, especially well-used ones develop their own quirks. The "e" is a little higher or lower. The "o" gets a little filled with ink. It's mechanical, so parts wear, things get a bit off, and with enough use, each typewriter develops its own fingerprint.
It's been a thing in mystery novels at least back to the 1920's.
What -you- are describing, is "Was this particular document written on this particular typewriter", which is possible by comparing it against a document you know to have been written by that typewriter, and which I detail in my answer which you didn't fully read ("That (...) would allow you to examine specific typewriters. You may be able to determine a letter was written from a -given- typewriter").
This is identical to ballistics; finding a fired bullet does not tell you the specific gun that fired it (but may tell you the model/make; certainly, it will tell you the type of ammunition it takes). But if you have a bullet of known provenance (i.e., one you fired from a suspect's gun), you can tell if the markings left on the bullets match.