Absolutely. That's roughly what philosophy courses are meant to do. They fire a shotgun round into the air to show you as much variance and disagreement between cogent and prominent thinkers and then ask, "So... what do you think?" (Speaking solely in terms of American education,) Literature classes also do this to a smaller extent. In elementary schools, more so but it's supposed to be done in social studies... which converts into history class later on.

These are all huge opportunities to teach ethics. We don't take them, because ethics isn't a marketable skill and has always been an implicit lesson. So we wrote standards and tests and teach to those and now here we are. Most people who graduate from high school do so believing that democracy is a flawed-but-least-flawed model of government they just have to endure, that history consists of great figures who dwarf the capabilities of the little people, and that actually understanding the breadth of our social fabric is pretty much impossible.

Ethics? Ethics is whatever doesn't piss off your best friend and still gets you laid.