I'm an EE not a MechE but I'd be truly curious to know if there are any MechE programs where a fresh graduate would have ever heard the term "feeds & speeds".
In a similar vein, I learned to solder in EE but not because of any of my course work. We were lucky enough to have an aerospace electronics manufacturer situated on the north edge of campus. The IEEE Student Society worked out a deal with them where EE students who wanted to learn could come and do a 3-hour crash course with the techs. I could solder before I did the course, but my ability to solder well improved dramatically as a result of those 3 hours of training. And, even more importantly than learning to solder, I learned a ton of things about solderability: what makes a circuit board easy to solder and what makes it hard to solder under different manual and automated manufacturing techniques (wave soldering, paste + pick & place, etc).
Germany has dual degrees where you both learn a trade and get a degree. If you are doing this for Mechanical Engineering you definitely will learn this.
Degree programs also have required internships and there are definitely courses which you can take during your degree. I would be surprised if there weren't a majority of mech eng graduates who would know the basics of milling.
Mechanical engineering is a pretty broad discipline covering everything from micro fluidics to structural requirements of sky scrapers. It’s a good skill to have but I’m not sure that awareness of operating a milling machine is critical for success after graduation.
This was an extracurricular activity, and the MechE's were in their fifth year or so. I was in my first year (semester, really) and I was suggested I take the course because I was already a reasonable programmer and there was very little materials in the course, but it was more about programming the machines (simple loops, no real decisions, etc).
I was doing 0.1mm increments in my code because I "felt" steel wouldn't be soft enough for more, but I never got any real training on that before second year.