No, according to Jain philosophy, a person born in the 5th āra (Dukhām Dukhattar Kāḷ) of the current time cycle in Bharat Kṣetra cannot attain moksh (liberation) in that same birth.

A few key points in simple language:

1. Moksh is not possible in 5th āra in Bharat Kṣetra

- In our present era (we are in the 5th āra of Avasarpiṇī), no new Kevalī (omniscient being) can arise in Bharat Kṣetra. - Without Keval-jñān and the right conditions, moksh cannot be attained from here in this time period. - Both Digambar and Shvetambar traditions accept that in the 5th āra in Bharat Kṣetra, no one can attain moksh.

1. Bhagwan Mahavir’s moksh marked the end for this era here

- Lord Mahavir attained moksh at the very end of the 4th āra, just before the 5th āra began. - After that moment, no more souls can attain moksh from Bharat Kṣetra in this Avasarpiṇī.

1. About “same birth” condition

- Your question is very specific: “Can a person born on the first day of the 5th āra attain moksh in the same birth?” - Since in the 5th āra in Bharat Kṣetra moksh itself is not possible, → A person born on the first day, middle, or last day of the 5th āra cannot attain moksh in that very birth from this land.

1. But spiritual progress is still very meaningful

- Even though moksh is not possible from Bharat Kṣetra in this era, - We can still gain Right Faith (Samyak Darshan) - Practice vows, penance, meditation, ahiṃsā, etc. - Reduce karmas and prepare for future births in better kṣetras (like Mahāvideh) where moksh is possible in their present eras.

So, directly answering your question:

No, a person born on the first day of the 5th āra cannot attain moksh in the same birth itself from Bharat Kṣetra, because in the 5th āra moksh is not possible here at all.