No. In Jain दर्शन, abhavya jīvas are not capable of attaining moksha in any future cycle. Their souls remain forever incapable of liberation because they do not possess the eligibility for right faith, right knowledge, and the final path to liberation.

So, according to Jain doctrine:

• Bhavya jīvas can attain moksha in the future.
• Abhavya jīvas cannot attain moksha at any time.

This is the traditional Jain understanding.