No, in Jain tradition Neminath and Krishna did not fight.

According to Jain texts, Krishna respected Neminath, and Neminath is shown as a great Tirthankar who renounced worldly life. Their relationship is described with reverence, not conflict.

So the Jain view is:

• No battle between Neminath and Krishna
• Mutual respect
• Neminath remains spiritually superior as a Tirthankar