Short answer

No, not all of it, by the Jains' own account. The two main Jain traditions, the Svetambaras and the Digambaras, both teach that the fourteen Purvas were lost. These were the oldest teaching, and the knowledge faded until it was totally extinct. The Svetambaras say the twelfth Anga, which held them, was lost too. The Digambaras say the Angas, the main books of the canon, are themselves lost. So part of what Mahavira, the last of the Jain Tirthankaras (teachers), taught is gone. Islam's claim is narrow and can be checked. The Qur'an was written down as it came, and Companions learned it by heart, in the Prophet's (ﷺ) lifetime. God (﷾) also promises to guard it (15:9).

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