Yes, you can begin to trust someone in certain areas but not in others as you forgive. As an example, suppose that Person A has a serious gambling problem. These actions have hurt you. Yet, the person is a good worker who gets the job done when asked to do so. If Person A asks for a monetary loan, it would not be in your interest (or in Person A’s interest) to loan the money. At the same time, if Person A’s work record is strong and you need this person to do a certain job, then relying on Person A to do and finish the job is not unreasonable, given the past behavior. You can forgive the compulsive gambler for not paying back your loan and, at the same time, not trust the person in the one particular area of finances.
For additional information, see What is Forgiveness?