Can I truly forgive without reconciling with a person?
Yes. To forgive is not necessarily to reconcile although this is one of the goals of forgiving. Yet, reconciliation is not within only your power to grant. Reconciliation is a negotiation strategy between two or more people who come together again in mutual trust. If the other continues behaviors that are hurtful and if the person does not seem interested in changing those behaviors, then you can forgive but not reconcile, at least until the other shows signs of changing and is more trustworthy.