No, the angels are perfect in every way and are superhuman. When imperfect humans express such emotions, however, we immediately understand their feelings because we too are mere humans.
أَمَّا ٱلْبَشَرُ ٱلنَّاقِصُونَ فَيَسْتَطِيعُونَ ٱلتَّعْبِيرَ عَنْ مَشَاعِرَ كَهٰذِهِ ،‏ وَنَحْنُ نَفْهَمُ عَلَى ٱلْفَوْرِ مَشَاعِرَهُمْ لِأَنَّنَا بَشَرٌ مِثْلَهُمْ .‏