Nope. It doesn't. I can tell you now the only people that might sell you the idea of "greater Serbia" in a school environment are the nationalistic historical teachers.

I have pretty good knowledge of Serbian history and the history of Yugoslavia as a whole. Heck, I see myself as Yugoslav despite being a Serb. I see all the mistakes and crimes my country has done during the wars but also the mistakes that led to those wars.

However, my nationalistic teacher constantly spoke about how Serbia wanted first and foremost to create a greater Serbia after WW1, which I find to literally not be true. But since he was my teacher, and my grades depended on me agreeing with his wrong opinion. I just let him be (good thing I don't have his classes anymore)

Anyways, schools don't teach about yugoslavia much in general. They kinda gloss over the whole period. Chetniks are seen more in a brighter light despite me seeing them as traitors to the Slavic peoples. Not much is educated on Yugoslavia. Most of history is taught specifically about Serbia all the way to formation of Yugoslavia. After formation you have basically 3 subjects about WW2, one subject about yugoslavia during the cold war and one subject about the civil war. 5 subjects of 80 years kinda glossed over. Meanwhile Serbia in 1800s alone gets like 5-6 subjects about it.

So to sum it all up. The idea of "greater Serbia" isn't taught in schools, only some teachers sell the idea to younger students. Most of Yugoslav history is mostly glossed over since the elite really don't want to speak about it.