Is there any way to track quests?
After some poking about, I discovered that talking to your pardner gives you a few options. One of them is that you can ask them "What do you think we should do next", which seems to give you a hint on what you can do to progress the story. The other important one is "Am I forgetting about anything", and you can get some hints on stuff you should do but haven't yet (like tasks people you've encountered have given you, stuff like that).
So there's not a big tracking system (at least not that I've discovered) like other RPG style games may have, but at least this way you have a way to jog your memory, if you're like me and tend to forget things a lot.