Is it possible for me to recite my daily Quranic portion during the night prayer (Qiyam al-Layl)?

There is no objection to reciting one's daily portion (wird) or other parts of the Qur'an during Qiyam al-Layl (night vigil prayer), based on the Almighty's saying: ﴿So recite what is easy [for you] of the Qur’an﴾ [Al-Muzzammil: 20]. However, one should not abandon reciting what one has become accustomed to from the Qur'an at its usual time due to reciting it during Qiyam al-Layl, because the most beloved deed to Allah is that which is continuous, even if it is small. So, persist in your daily portion and recite it during Qiyam al-Layl or at other times.