Is it permissible to make up for missed Qiyam al-Layl (night vigil prayer) without Witr (odd-numbered prayer), for someone who was overcome by sleep and did not wake up until half an hour before Fajr (dawn prayer), so he prayed Witr and then prayed?

If a Muslim misses all or part of his nightly wird (regular portion of recitation/devotion) due to sleep, it is recommended for him to make it up during the day, based on the Prophet Muhammad's (peace be upon him) hadith: "Whoever sleeps past his hizb (portion of the Qur'an) or part of it, and then recites it between the Fajr prayer and the Dhuhr prayer, it will be written for him as if he had recited it during the night." This includes reciting the Qur'an, supplications (du'a), remembrances (dhikr), and prayer. So, if someone's habit was to pray for two hours at night, and he only prayed for half an hour due to an excuse, it is prescribed for him to make up the remaining hour and a half during the day.