Yes. In Jain Dharma, any soul can follow the Jain path, because Jainism is centered on soul, karma, ahiṃsā, self-discipline, and liberation.

A person’s sexual orientation does not remove their ability to:

• take Jain vows,
• practice ahiṃsā,
• follow aparigraha,
• do samayik, pratikraman, fasting, and other spiritual practices,
• progress on the path of moksha.

What matters in Jainism is:

• purity of conduct,
• control of desires,
• non-violence in thought, word, and action,
• honesty, restraint, and compassion.

So, a gay person can absolutely be Jain and sincerely practice Jain Dharma.

At the same time, Jainism encourages brahmacharya and self-restraint for spiritual growth. The focus is on reducing attachment and passions, not on judging a person’s soul.

If you want, I can also explain this from the Jain view of karma, brahmacharya, and vows.