Short answer: No. In Jainism, Shri Krishna is not a Tirthankar of the present cycle, nor is he listed as the upcoming Tirthankar in the traditional cosmology.

• In the current time cycle (Avasarpini), the 24th and last Tirthankar is Mahavira. No new Tirthankar is believed to appear in Bharata Kshetra during this same cycle. In the next time cycle (Utsarpini), new Tirthankaras will appear, but their names are not fixed in the same way as the present 24 are, and Krishna is not recognized as one of them in Jain scriptures. Different Jain traditions (Digambar and Śvetambar) do not treat Krishna as a future Tirthankar. You can read a concise Jain perspective here.

• Some modern Jain explanations may discuss Krishna in other contexts, but they do not identify him as a Tirthankar within the Jain soteriology. The standard Jain view centers on the 24 Tirthankaras of the current cycle and the future first Tirthankar of the next cycle being Padmanabh (Digambar) or Mahapadma (Śvetambar), not Krishna. You can read a clear summary here.

If you’d like, I can share a simple overview of who the 24 Tirthankaras are and how the next cycle is described in Jain texts.