Yes.

In Jainism, this is very clear:

• The soul (jiva) itself has no gender – it is not male, female, or anything else.
• Gender belongs only to the body, which is decided by karma at the time of a new birth.
• So, a soul that is now in a male body can easily take birth in a female body in the next life, and the opposite is also true. There can also be a third type (napuṁsaka) birth.

Different Jain traditions (Digambar and Shwetambar) may differ on questions like whether a woman can get moksha in the present female body, but all agree that:

• The soul is genderless and equal in capacity.
• Rebirth as male or female can keep changing from life to life based on karma and inner tendencies.

You can read a simple explanation of gender and the soul here