Yes, however mainly in verses in the context of the recommended night prayer (maybe because this was the first kind of prayer practiced in Islam as mentioned by many scholars) for example it is mentioned in surat al-Isra'a
Establish prayer at the decline of the sun [from its meridian] until the darkness of the night and [also] the Qur'an of dawn. Indeed, the recitation of dawn is ever witnessed. (78). And from [part of] the night, pray with it as additional [worship] for you; it is expected that your Lord will resurrect you to a praised station.
The first verse is mentioning prayers and the Qur'an recitation at dawn and its virtuous, and the second verse says pray with such a recitation at night too.
Both essentiell verbs here appear in imperative:
قرآن الفجر ... فتهجد به
The recitation of (the Qur'an at) dawn ... pray with it (at night)!
imperative in Arabic means "أمر" which literally means "order", however based on the interpretation it could also mean a recommendation. Therefore reciting qur'an after al-Fatihah in the prayer is regarded as sunnah by scholars.