Let me first give you the view of ahul-sunnah regarding this concept of hadith abrogating Quran!
The vast majority of the scholars are of the opinion that Sunnah does not abrogate the Quran. They say that there is no example of such abrogation and that the examples given by the other side are not correct.
Imams Shafi’i, Ahmad b. Hanbal, ibn Taymiyyah (rah) & others were of this group of scholars.
On the other hand, there are few scholars who believe that the Sunnah abrogated the Quran. Muhammad bin Nasr al-Marwazi is one of them. They use the following two examples which was rejected by vast scholars:
1- Surat al-Baqarah 180: It is prescribed, when death approaches any of you, if he leave any goods, that he make a will to parents and next of kin.
But the Prophet ASWS said: No entitled heir is to be included in the will.
Response: This verse was already abrogated by the verses of inheritance in Surat al-Nisaa. So this is not a good example of Sunnah solely abrogating the Quran.
2- Surat al-Nisaa’ 15: If any of your women are guilty of lewdness (adultery), take the evidence of four witnesses from amongst you against them; and if they testify, confine them to houses until death do claim them, or Allah ordain for them some (other) way.
But the Prophet ASWS said: Allah has ordained for them a way, stoning for adulterers, and lashing for fornicators.
Response: Allah SWT said: “or Allah ordain for them some (other) way”. He SWT ordained this “other way” through the Prophet ASWS. Not that the verse was abrogated.
Now lets move to some quranic verses used by ahul-sunnah scholars to prove that Sunnah can’t abrogate Quran:
Sura al-Nahl (16:101): وَإِذَا بَدَّلْنَآ ءَايَةً مَّكَانَ ءَايَةٍ وَاللَّهُ أَعْلَمُ بِمَا يُنَزِّلُ قَالُواْ إِنَّمَآ أَنتَ مُفْتَرٍ بَلْ أَكْثَرُهُمْ لاَ يَعْلَمُونَAnd when We substitute one ayah in place of another ayah [ayatun makana ayatin], and God knows best what He reveals.
This text, according to al-Shafi`i, is self-evident on the point that an ayah of the Qur’an can only be abrogated or replaced by another ayah. The fact that the ayah occurs twice in this text provides conclusive evidence that the Qur’an may not be abrogated by the Sunnah.
In another place, the Qur’an reads:
Surah at-Baqarah,2:106: مَا نَنسَخْ مِنْ ءَايَةٍ أَوْ نُنسِهَا نَأْتِ بِخَيْرٍ مِّنْهَا أَوْ مِثْلِهَا أَلَمْ تَعْلَمْ أَنَّ اللَّهَ عَلَى كُلِّ شَيْءٍ قَدِيرٌ
None of our revelations do We abrogate [ma nansakh min ayatin] or cause to be forgotten unless We substitute for them something better or similar.
The text in this ayah is once again clear on the point that in the matter of naskh, the Qur’an refers only to itself. The Qur’an, in other words, is self-contained in regard to naskh, and this precludes the possibility of it being abrogated by the Sunnah.
Source: Shafi’i, Risalah, p. 54; Amidi, Ihkam, III, page 153,156; Ghazali, Mustasfa, I, 81.
Now lets move to shia view regarding this concept:
& the answer is yes & no also.
Note: You can compare the difference b/w the shia/suuni hadith standards & you can also see the status of Quran Vs Sunnah.
Sunni’s have ultimate hadith science. No doubt even shia scholars declared there own hadith science as trash. But still they can abrogate Quran!
Here is what shia alim Al-Khoei has said about hadith abrogating Quran:
إن الحكم الثابت بالقرآن ينسخ بالسنة المتواترة ، أو بالاجماع القطعي الكاشف عن صدور النسخ عن المعصوم عليه السلام
A Hukm (ruling) established in the Qur’aan can be abrogated by a mutawaatir sunnah (hadeeth), or by a definition consensus that demonstrated the abrogation was based on the opinion that came from the infallibles .
Source: Al-Khoei, Al-Bayaan fee Tafseer Al-Qur’aan, pg. 192
But other shia alim sheikh mufid said in his at-Tadhkira bi-Usool al-Fiqh:
والعقول تجوز نسخ الكتاب بالكتاب، والسنة بالسنة، والكتاب بالسنه، والسنة بالكتاب. غير أن السمع ورد بأن الله تعالى لا ينسخ كلامه بغير كلامه بقوله: (ما ننسخ من آية أو ننسها نأت بخير منها أو مثلها)
فعلمنا أنه لا ينسخ الكتاب بالسنة. وأجزنا ما سوى ذلك مما ذكرناه.
And the intellects allow for the abrogation of the Book by the Book, and the Sunna by the Sunna, and the Book by the Sunna, and the Sunna by the Book. However, the sam` (that is, the sources, i.e. the Quran and Ahadith) has brought that Allah ta`ala does not abrogate His speech by other than His speech by His saying “And We do not abrogate an ayat or cause it to be forgotten but that We bring one better than it or its like”. So we know that He does not abrogate the Book by the Sunna, and we contsider to be permissible what is other than that of what we have mentioned.