Short answer: No. In Jainism, Krishna is not considered part of Jain history or the lineage of Tirthankaras.

What Jain tradition teaches:

• The spiritual teachers in Jainism are the 24 Tirthankaras. Krishna is not one of them.
• Krishna is a central figure in Hindu lore, whereas Jain scriptures focus on the Tirthankaras and other Jain sages.
• Some later Jain writings may mention Krishna in broader mythological or historical context, but he is not regarded as a Jain spiritual teacher or a source of Jain dharma. Differences between Digambara and Śvetāmbara texts on such legends are generally about narrative details, not about Krishna being a Tirthankara.

If you’d like, I can point you to a JainKnowledge page that discusses the 24 Tirthankaras and how Jain history is traditionally presented.