Is it possible to get in an unwinnable state?

Solution 1:

It's the zombie apocalypse. There are pretty much no real "good" endings.

Whilst it may be the instinct of many gamers to go back to a decision to see if they could have picked a better option, that's not really the point of this game. All of your decisions have consequences and therefore the story is essentially tailored to your playthrough.

I don't believe there are any decisions you can make that would make the game outright unfinishable though, so just relax and play the game through, you'll enjoy it. If you want to see how another set of decisions impact the story then by all means play it again.

As a final point, those pointers are there for your benefit. Characters will distrust you if you behave inconsistently or go back on things you've previously said. They also help notify you of those characters' dispositions towards you. It's all there to help you make better decisions further along the line.

Solution 2:

No. If you've done something horribly wrong, the game will kill you outright. The greatest impact your choices can make are either killing off a character that would die anyway, or severely impacting the relationships with other characters.