No. In Jain tradition, Mahavir Swami was not exchanged with a girl child.

The well-known Jain account says that his embryo was transferred by Indra from the womb of Devananda to the womb of Trishala Mata, because a Tirthankar should be born in a Kshatriya family. This is before birth, not an exchange of a child after birth.

So, the correct Jain understanding is:

• Embryo transfer happened
• No girl child exchange happened
• Mahavir Swami was then born to Trishala Mata and Siddharth Raja in the Ikshvaku dynasty

If you want, I can also explain this story in simple Gujarati or Hindi.