Answer

Yes. In Jain tradition, Siddhi Tapa is spoken of as one of the many austerities, and one well-known devotional account is connected with Acharya Shri Jayghosh Suri Maharaja. A Jain source says that his blessings and pachakhan helped many devotees complete Siddhi Tapa, especially during Chaturmas, and the story is remembered for unity, discipline, and guru-bhakti. ( jsmw.org)

Explanation

There is not just one fixed, universally accepted “Siddhi Tapa story” in all Jain communities. Jain educational material lists Siddhi Tapa among other austerities such as Kshir-samudra Tapa and Jnänpanchmi Tapa, so it is usually understood as a penance with inspiring community traditions around it rather than a single canonical tale. ( jsmw.org)

Spiritual Understanding

The main message of Siddhi Tapa is self-control, inner purification, and karmic shedding through austerity. It reminds a Jain साधak that spiritual strength comes from संयम, humility, and devotion, not from comfort. ( jsmw.org)

Takeaway

So, if you want a story, the Jayghosh Suri Maharaja tradition is a good devotional one to remember. I can also give you a simple Gujarati-style kathā version or the basic meaning of Siddhi Tapa.