Is the Quran called الحديث ‘al-hadeeth’ ?

Bismillah, alhamdulillah: Yes, in the sixth verse:

فَلَعَلَّكَ بَاخِعٌ نَفْسَكَ عَلَى آثَارِهِمْ إِنْ لَمْ يُؤْمِنُوا بِهَذَا الْحَدِيثِ أَسَفًا (6)

Then perhaps you would kill yourself through grief over them, [O Muhammad], if they do not believe in this message, [and] out of sorrow. – Surah Al-Kahf 18:6

Here the word حديث is translated as message. Literally the word means anything that is spoken about. The word occurs in the Quran in this sense in the following verse:

وَقَدْ نَزَّلَ عَلَيْكُمْ فِي الْكِتَابِ أَنْ إِذَا سَمِعْتُمْ آيَاتِ اللَّهِ يُكْفَرُ بِهَا وَيُسْتَهْزَأُ بِهَا فَلَا تَقْعُدُوا مَعَهُمْ حَتَّى يَخُوضُوا فِي حَدِيثٍ غَيْرِهِ إِنَّكُمْ إِذًا مِثْلُهُمْ إِنَّ اللَّهَ جَامِعُ الْمُنَافِقِينَ وَالْكَافِرِينَ فِي جَهَنَّمَ جَمِيعًا (140)

And it has already come down to you in the Book that when you hear the verses of Allah [recited], they are denied [by them] and ridiculed; so do not sit with them until they enter into another conversation. Indeed, you would then be like them. Indeed Allah will gather the hypocrites and disbelievers in Hell all together – Surah Al-Nisa 4:140

 

Another example of its use report or account as is in the following verse:

هَلْ أَتَاكَ حَدِيثُ الْغَاشِيَةِ (1)

Has there reached you the report of the Overwhelming [event]?