Is it permissible to make up the Sunnah of Dhuhr prayer at home after the Asr prayer, or is it stipulated that it be performed only with the Dhuhr prayer?

The time for the pre-Fardh (obligatory) Sunnah prayer begins with the entry of the time for the Fardh prayer and ends with its departure. As for the post-Fardh Sunnah prayer, it begins upon completing the Fardh prayer and ends with the departure of the time for that prayer. It is recommended for a Muslim to consistently perform the regular Sunnah prayers at their designated times. If one misses them due to an excuse, it is sunnah to make them up, even if their time has expired.