Yes, absolutely. People tend to feel that God is far away when they have sinned and feel guilty, and when things are going wrong with their lives. Both of these are, of course, the reason why we need faith. God promises to be with us during the tough times, "Even though I walk the the valley of the shadow of Death, you are with me." Psalm 23:4. At the same time, when Jesus was being crucified, he cried out from the cross, "My God, my God, why have you forsaken me?" Even though Jesus was perfect and never sinned, God abandoned Him to death so that none of us would ever be abandoned. Even when we "feel" our worst, God never leaves us.