Yes, according to Jain tradition, Bhagwan Mahavira did meet followers of Parshvanath. Parshvanath, the 23rd Tirthankara, lived about 250 years before Mahavira, and his teachings had a significant influence on Jain communities.

When Mahavira began his spiritual journey, there were already established groups following the teachings of Parshvanath. These followers practiced the "Four Great Vows" (Chaturyama Dharma): non-violence, truth, non-stealing, and non-possession. Mahavira later added the fifth vow—celibacy (brahmacharya)—to form the "Five Great Vows" (Mahavratas) that are central to Jain monasticism today.

Jain scriptures, such as the "Kalpa Sūtra" and commentaries by Jain Acharyas, mention that Mahavira encountered and interacted with Parshvanath's followers. Many of them, including prominent figures like Jamali and others, accepted Mahavira's teachings and became his disciples, adopting the additional vow and the refined discipline he advocated.

Thus, there is a strong tradition within Jainism acknowledging that Mahavira met and influenced the followers of Parshvanath, integrating and expanding upon their practices.