Is it possible for a hypocrite to wake up for Fajr prayer, and is it normal for a person to ask himself if he is a hypocrite and to monitor his actions accordingly?

It has been established that missing Fajr prayer is a characteristic of hypocrites. However, a Muslim's missing it without an excuse does not mean he is a hypocrite, unless it becomes a habit for him. A Muslim's fear of hypocrisy for himself is a sign of faith, and it increases his obedience and closeness to Allah Almighty.