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
وَحَدَّثَنِي يَحْيَى بْنُ حَبِيبٍ الْحَارِثِيُّ، حَدَّثَنَا رَوْحٌ، حَدَّثَنَا زَكَرِيَّاءُ بْنُ إِسْحَاقَ، حَدَّثَنَا عَمْرُو بْنُ دِينَارٍ، قَالَ سَمِعْتُ عَطَاءَ بْنَ يَسَارٍ، يَقُولُ عَنْ أَبِي هُرَيْرَةَ، عَنِ النَّبِيِّ صلى الله عليه وسلم أَنَّهُ قَالَ " إِذَا أُقِيمَتِ الصَّلاَةُ فَلاَ صَلاَةَ إِلاَّ الْمَكْتُوبَةُ " .
Abu Huraira reported the Messenger of Allah (ﷺ) as saying: When the prayer commences, there is no prayer but the obligatory one.