It can, but it must be earned, and in order for that to happen the WS must do a lot of heavy lifting.
They must put in place good boundaries with other people, all other people.
They must work to understand what they did, why they did it, and what it did to the betrayed person.
They must demonstrate this new understanding and behavior when it is tested by others or events, the proof is in what happens when you are tested not in what you say, talk is cheap, and it can take years to have that happen.
My wife, as example, was someone I trusted without question. But, she had poor boundaries on multiple issues that were not apparent to anyone. I didn't see this, it was hidden from me.
It took 9 years before someone propositioned her and when it happened a confluence of things all came together. She was by herself, she was feeling down about herself, she was being treated for depression, she was drinking when it happened in a social environment, the kids were at home with me, she was out without any of her female friends that knew the family, and it was late in the evening.
That confluence of events had never happened before, perhaps all of them but the propositioning had, but on that day it all fell into place and she did what she had sworn to herself that she'd never do.
It's a long road back to earn trust that was freely given in the first place.