Is it possible to rebuild trust? Could you trust someone again?

I'm not asking about being cheated on or being backstabbed by a friend/partner. I am talking about certain things you expected from your friend or family member (or partner) but when things got tough, they did or almost things you trusted them not to (out of anger/ frustration)

Now you know they're good people and everyone makes mistakes. We all do. They haven't done worse things but the thing they did affected you. Do you think you could ever trust them again if they put efforts to prove that they won't make the same mistake again and choose to be there for you?

Is it possible to rebuild trust? Could you trust someone again?
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