Michael,

I guess that depends on how you are measuring a loss. The most essential part of forgiveness is no longer allowing some past hurt control you and if you're still focused on that "loss" it is still controlling you and it is difficult to minister God's forgiving power to others. 

My mother was killed in a head-on collision where I was driving. I was very angry at the other driver. Then I learned that his loss of control was from a medical condition, so I asked God how I should feel toward him and His answer was, "Forgive him." So I visited him in the hospital and, by God's grace, was able to forgive him. Three of my brothers felt differently until they learned of my action and that forced them to forgive, too. Through God's love that man became my friend.