No, it has no effect on a person’s fate on the day of judgement.

My question is regarding if lineage can help us in the next life based on this Hadeeth?? يا فاطِمَة أَنْقِذي نفْسَكَ منَ النَّار ، فَإِني لا أَمْلِكُ لَكُمْ منَ اللَّه شيْئاً ، غَيْر أَنَّ لَكُمْ رحِماً سأَبلُّهَا بِبِلالِها »”O Fatimah, rescue yourself from the Fire, for I have no power (to protect you) from Allah in anything except that I would sustain relationship with you”. [Muslim].