Yes, according to one view Mut'ah was abrogated by the Quran. This is implied in what has been narrated from some of the sahaba including Ali, Ibn Abbas, Ayesha, Ibn Mas'ud, Abu Hurairah etc.

> والذين هم لفروجهم حافظون إلا على **أزواجهم** أو **ما ملكت أيمانهم** فإنهم غير ملومين فمن ابتغى وراء ذلك فأولئك هم العادون
>
> And they who guard their private parts. Except from their **wives** or **those their right hands possess**, for indeed, they will not be blamed - But whoever seeks beyond that, then those are the transgressors.
>
> <sup>— [Quran 23:5-7](https://quran.com/23/5-7) </sup>

A woman with whom mut'ah is done is neither a wife nor a slave, so such a relationship is among those which are "beyond that" and are haram.

If one is to argue that such a woman is a type of wife, then the Quran prescribes laws applicable to a wife such as:

- divorce - [65:1-2](https://legacy.quran.com/65/1-2), [2:227-237](https://legacy.quran.com/2/227-237)
- iddah - [2:228](https://quran.com/2/228), [2:234](https://quran.com/2/234), [65:4](https://quran.com/65/4)
- inheritance - [4:12](http://quran.com/4/12)
- maintenance and accommodation - [65:6-7](https://quran.com/65/6-7), [2:233](https://quran.com/2/233)

These are [not applicable](https://www.al-islam.org/muta-temporary-marriage-islamic-law-sachiko-murata/statutes-muta) to a woman with whom mut'ah is done. 

So either a woman with whom mut'ah is done is not a wife or it is obligatory to apply the above verses to her - which makes the contract not mut'ah but a regular marriage.


---

<sup>**Note:** The English translations below are my own, so treat with caution as may contain paraphrasing etc.</sup>

>**Ali**
>
> عن علي بن أبي طالب رضي الله عنه قال: نهى رسول الله صلى الله عليه وسلم عن المتعة  قال: وإنما كانت لمن لم يجد، فلما أنزل النكاح والطلاق والعدة والميراث بين الزوج والمرأة نسخت 
>
> Ali ibn Abi Talib said: The Messenger of Allah forbade mut'ah and he said: it was for a person who could not find (means of marriage), then the revelation on nikah, divorce, iddah, inheritance between the husband and wife abrogated it
>
> <sup>— [Sunan al-Kubra al-Bayhaqi](https://shamela.ws/book/7861/16318)</sup>
>
> **Ibn Abbas**
>
>عن ابن عباس رضي الله عنهما قال: كانت المتعة في أول الإسلام ... فنسخ الله عز وجل الأولى فحرمت المتعة , وتصديقها من القرآن {إلا على أزواجهم أو ما ملكت أيمانهم} [المؤمنون: 6] وما سوى هذا الفرج فهو حرام
>
> Ibn Abbas said: Mut'ah was in the beginning of Islam ... then Allah abrogated it and forbade mut'ah and confirmed that in the Quran:
>
> "*Except from their wives or those their right hands possess*"
>
> And so every private part other than these two is haram
>
> <sup>— [Sunan al-Kubra al-Bayhaqi](https://shamela.ws/book/7861/16305)</sup>
>
>**Ayesha**
>
>سئلت عائشة رضي الله عنها §عن متعة النساء فقالت:  بيني وبينهم كتاب الله عز وجل , وقرأت هذه الآية: {والذين هم لفروجهم حافظون إلا على أزواجهم أو ما ملكت أيمانهم فإنهم غير ملومين فمن ابتغى وراء ذلك فأولئك هم العادون} [المؤمنون: 6] فمن ابتغى وراء ما زوجه الله أو ملكه فقد عدا
>
>Aisha was asked about mut'ah with women she said: Between you and me is the book of Allah, and she recited: 
>
>"*And they who guard their private parts. Except from their wives or those their right hands possess, for indeed, they will not be blamed - But whoever seeks beyond that, then those are the transgressors.*"
>
>So whoever seeks other than what Allah has given him in marriage or possession is transgressing
>
> <sup>— [Sunan al-Kubra al-Bayhaqi](https://shamela.ws/book/7861/16311)</sup>
>
> **Abdullah ibn Mas'ud**
>
> عن عبد الله بن مسعود قال:  نسختها العدة والطلاق والميراث
>
> Abdullah ibn Masud said: (Mut'ah) is abrogated by iddah, divorce and inheritance
>
> <sup>— [Sunan al-Kubra al-Bayhaqi](https://shamela.ws/book/7861/16317)</sup>
>
> **Abu Hurairah**
>
> عن أبي هريرة رضي الله عنه قال: ... فقال رسول الله صلى الله عليه وسلم: حرم أو هدم المتعة النكاح والطلاق والعدة والميراث
>
> Abu Hurairah said: ... The Messenger of Allah ﷺ said: Mut'ah has been forbidden and destroyed by nikah, divorce, iddah and inheritance.
>
> <sup>— [Sunan al-Kubra al-Bayhaqi](https://shamela.ws/book/7861/16315)</sup>