few things:
a) Allah Almighty is able to do all things. He can give you Azaab where and when He wishes; that is for sure.
b) in Quran, there are certain categories of people for whom the Azaab started immediately after death, even for certain Angels starting beating them.
c) Amazingly, there is no "mention" of the specific word of "Azab-e-Qabar" in Quran, If someone point it out where it has been mentioned.
Readily from whole of Quran, all kind of Azaabs are mentioned here, without "Azab-e-Qabar" and Allah knows the best.
http://www.quraneasyurdu.net/l00062/doom/p.html
May Allah save us from all kind of His Azaab, Saza, and Anger, whereever, whenever, and in whatever forms they may be. Ameen.
One more thing. Allama Zaheer does not know that Quran was arranged and written in
Prophet(PBUH) time, if he does not have those verses, I can give him for his guidance.
Quran has been referred as a "Book" throughout. Therefore, equating it with some other
source be it Hadith is not justified.