Yes—Jainism teaches that souls cycle in samsara (birth, death, and rebirth) until they are liberated. Reincarnation continues because karma sticks to the soul and binds it to future lives. The goal is to break this cycle by shedding karma and realizing the true nature of the self.

How the cycle ends (moksha)

• The three jewels: Right faith (samyak darshan), right knowledge (samyak jnAna), and right conduct (samyak caritra). Cultivating these frees the soul from new karma and gradually purifies old karma.
• Right conduct and vows: Practicing ahimsa (non-violence), satya (truth), asteya (non-stealing), brahmacharya (celibacy or controlled conduct), and aparigraha (non-attachment) helps stop adding new karma and reduces existing karmic bond.
• Inner purification: Through discipline, self-control, fasting, penance, and meditation, the soul burns off (peels away) karmic layers.
• Kevala jnana and liberation: When all karmic bondage is shed, the soul achieves kevala jnana (omniscience) and rises to siddha-loka (liberation), beyond the cycle of birth and death.

What changes between traditions

• Digambara vs. Śvetāmbara differences:

- Śvetāmbara generally hold that both men and women can achieve liberation in their own lifetimes, and that women can attain moksha through appropriate spiritual practice. - Digambara traditions emphasize the path of asceticism and traditionally hold that the liberated soul can be in a formless, omniscient state beyond ordinary gender distinctions; some Digambara lineages emphasize male monasticism as a primary example, while broader Jain thought acknowledges capable liberation for all souls who complete the karmic shedding, regardless of gender, though historical interpretations vary.

• In all cases, the core idea remains: moksha is the stoppage of new karmic bondage and the shedding of all past karmas, resulting in a pure, liberated soul.

Simple practical takeaway

• Build the threefold path in daily life: right belief, right knowledge, and right conduct.
• Follow the five vows with sincerity; reduce harm to all living beings; practice self-discipline; and detach from unnecessary possessions and desires.
• Seek steady self-awareness and a calm, non-harmful lifestyle to gradually burn away karma.

If you’d like, I can summarize key Jain sutras or stotras that describe samsara and moksha in more detail, or explain how lay practitioners and monks implement these teachings in daily life.