No...

This is a big lie. Shiites believe in the same Quran that is in the hands of all Muslims and they do not have another Quran. Even the Shiites do not believe in the distortion of the Quran. 

The enemies of Islam, with the motive of dividing Muslims by slandering a group of Muslims, want to create a gap and distance and enmity between Muslims. According to Shiites, anyone who does not accept the Quran as the divine book that the Prophet of Islam brought from God is not a Muslim.

We definitely emphasize that all Muslims should believe in the same Quran.

This Qur'an is a divine miracle, so it should reach people without distortion and change.

The purpose of the revelation of the Qur'an is guidance. If this Qur'an has been distorted or changed, the divine purpose has not been fulfilled and this is impossible.

If the Shiites had another Quran, it should have been printed as many different Qurans as the number of Shiites and available in bookstores, while there is no other Quran except this Quran in libraries and bookstores.

Every year, Quranic competitions are held internationally in different countries, and Shia reciters and memorizers compete alongside Sunnis and win prestigious positions. They recite the Qur'an in the same way that other Muslims recite the Qur'an.

Qur'an is the last book of God, so it must be protected because no other Qur'an will be revealed after this Qur'an.

God says in the Qur'an:

إِنَّا نَحْنُ نَزَّلْنَا الذِّكْرَ وَ إِنَّا لَهُ لَحَفِظُونَ(حجر/۹) 

We have sent down the remembrance(Quran), and We are its keepers.