Indeed, it does exist, but IME SE education is just "CS light". I'm not saying that to be disparaging for the sake of it[4], but: there's nothing close to traditional engineering in the software development world[2]. It's basically just business interests coopting the term to try to seem more legit -- and of course they established the equivalent of trade schools for CS as SE. For those in the know SE education is a complete joke. (Disclaimer: Anecdotal, obviously, but I've been a university educator, in a position to hire, etc. etc.)

Just to avoid the inevitable pedantry: Obviously there are people who are serious about this type of thing[1], but in the mainstream and in practice "software engineering" is a complete joke.

[1] E.g. Greg Wilson. WATCH HIS TALKS. Seriously. He's amazing at exposing how absurdly irrational we are when it comes to education and development in general.

[2] I'm not sure why we would expect there to be. Programs, by Turing Completeness, are absurdly non-linear and unpredictable. I'm not sure engineering in such circumstances is even possible nevermind practical. See also [3] to have your mind blown. Engineering is ultimately based on physics which is "linear" in our everyday world (pedantry alert), but "computing" apparently doesn't quite submit to those parameters.

[3] https://en.wikipedia.org/wiki/Busy_beaver (specifically non-computability)

[4] Also, I'd like to add: CS doesn't even remotely prepare you for actually dealing with customers (which is probably the eventual fate of most CS students), but that just means that CS people might need supplemental courses in "requirements analysis"... but they should have had a bit of that when trying to game tests?!? I know that I did game "expectations" massively during my university experience.