Can you fully forgive a person that done wrong to you but still not trust them?

Yes

Forgiveness and trust are two very different things, so yes, it is possible to forgive them but still not trust them. Forgiving says that you are willing to let go and move past whatever they did wrong. Trust needs to be rebuilt. Once trust has been destroyed, it's not as simple as saying, "Ok, I'm going to trust you again." Without valid reason to trust again, it just won't happen. Forgiveness is something you alone can decide to do; trust is something that the other person has to help you find again.

yes you can, but not trusting them would ultimately lead ME to move on from them. I can't live like that, but that's just me.

Agree with all answers above.

It all depends. You can forgive a person for anything, whether the person ever asks for forgiveness or not. However, if he never says he is sorry, admits he was wrong, or asks you to forgive him, he is not to be trusted. If he recognizes that his wrong-doing caused you pain or embarrassment or whatever it caused you and promises to try to never do it again, then you can probably trust him. If he is not at all sorry for what he did, then you would be very foolish to ever trust him again.

Forgiveness is for YOU not for them. It allows you to let go of that which you cannot control.

Trust must be earned once broken.