Yes, but on a case-by-case basis.
From the long hadith narrated on the authority of 'Abdullah ibn Buraida, the Prophet ﷺ delayed the stoning of a woman from Ghāmid till after her child had weaned:
قَالَ: إِمَّا لاَ فَاذْهَبِي حَتَّى تَلِدِي. فَلَمَّا وَلَدَتْ أَتَتْهُ بِالصَّبِيِّ فِي خِرْقَةٍ قَالَتْ هَذَا قَدْ وَلَدْتُهُ. قَالَ: اذْهَبِي فَأَرْضِعِيهِ حَتَّى تَفْطِمِيهِ. فَلَمَّا فَطَمَتْهُ أَتَتْهُ بِالصَّبِيِّ فِي يَدِهِ كِسْرَةُ خُبْزٍ فَقَالَتْ هَذَا يَا نَبِيَّ اللَّهِ قَدْ فَطَمْتُهُ وَقَدْ أَكَلَ الطَّعَامَ. فَدَفَعَ الصَّبِيَّ إِلَى رَجُلٍ مِنَ الْمُسْلِمِينَ ثُمَّ أَمَرَ بِهَا فَحُفِرَ لَهَا إِلَى صَدْرِهَا وَأَمَرَ النَّاسَ فَرَجَمُوهَا
He said: "Well, if you insist upon it, then go away until you give birth to (the child)." When she was delivered she came with the child (wrapped) in a rag and said: "Here is the child whom I have given birth to." He said: "Go away and suckle him until you wean him." When she had weaned him, she came to him (the Holy Prophet) with the child who was holding a piece of bread in his hand. She said: "Allah's Apostle, here is he as I have weaned him and he eats food." He (the Holy Prophet) entrusted the child to one of the Muslims and then pronounced the punishment. And she was put in a ditch up to her chest and he commanded people and they stoned her.
— Sahih Muslim, Book 29, Hadith 35
In Mawsū'at al-Fiqh al-Islāmi
5/110 (Arabic only),
Mohammad ibn Ibrahim at-Tuwaijri dedicated a section to the possible causes of delaying the fulfillment of a hadd punishment as:
- What is related to the process of conducting the hadd punishment (e.g., weather, illness, etc.), which is also mentioned in Bahr al-Madhhab 13/20 (Shafi'i, Arabic only).
- What is related to the persons upon whom the hadd punishment is to be conducted (e.g., pregnancy, breastfeeding, etc.), which is also mentioned in Qawā'id Ibn Rajab 3/225 (Hanbali, Arabic only).
I do not know of a comprehensive list of all potential causes for delay, though.