Dishonored has two different endings depending on how you play the game. If you kill everyone you will get the evil ending (high chaos ending). If you don't kill very many people, you will get the good ending (low chaos ending): At the good ending you'll save Empress Emily Kaldwin.

Do Corvo and Emily have different endings?

The endings don't really vary by character, but they're more complex than just "high chaos" or "low chaos".

Does Dishonored 2 have different endings?

There's a different set of endings for Karnaca and Dunwall both, with variations of those who you ally with mixed within. It's not simply one or the other based on your chaos level, it's a puzzle with pieces you get to put together yourself.