Is it permissible to make up the prayer of the last third of the night in the morning for the same duration?

It is recommended for a Muslim who regularly performs the night vigil (qiyam al-layl) to make it up if they miss it due to an excuse such as sleep or illness. The make-up should be done during the day with the usual number of rak'ahs, plus an additional rak'ah to make it an even number (shaf'). Its time, if possible, is between Fajr and Dhuhr, while ensuring to recite the same amount of Qur'an that was usually recited at night.