It's not unlikely that God would lie that would be a matter of probability. It is impossible for God to lie.
When we worry, we are telling God, "You are neither trustworthy nor in control, so I need to worry and scheme as I take matters into my own hands." In this way unbelief drives worry, for it is impossible to worry when we are trusting in the provision of our sovereign God.
It doesn't matter what has happened, better things are coming. God's plan produces hope in me.