It is disliked to start a voluntary prayer after the Mu’adhdhin has started to say Iqamah for prayer, whether that is a regular sunnah, such as the sunnah of Subh or Zuhr, or anything else, and regardless of whether he knows that he will catch up with the rak`ah with the Imam or not

حَدَّثَنَا قُتَيْبَةُ بْنُ سَعِيدٍ، حَدَّثَنَا أَبُو عَوَانَةَ، عَنْ سَعْدِ بْنِ إِبْرَاهِيمَ، عَنْ حَفْصِ بْنِ عَاصِمٍ، عَنِ ابْنِ بُحَيْنَةَ، قَالَ أُقِيمَتْ صَلاَةُ الصُّبْحِ فَرَأَى رَسُولُ اللَّهِ صلى الله عليه وسلم رَجُلاً يُصَلِّي وَالْمُؤَذِّنُ يُقِيمُ فَقَالَ ‏ "‏ أَتُصَلِّي الصُّبْحَ أَرْبَعًا ‏"‏ ‏.‏