Are there specific supplications or actions that reduce the body's need for sleep so that a Muslim can perform Qiyam al-Layl every night?

There is no specific supplication to reduce sleep. However, Allah has legislated supplication for all lawful needs, even if there is no specific text for them, such as supplicating for guidance and aid in worship. Among the means to assist in performing night prayers (Qiyam (definition) al-Layl) and reducing sleep are: eating less at night, taking a siesta during the day, sleeping immediately after the Isha prayer, and using an alarm clock to wake up.