Marry in Church with child born out of wedlock?

I have a Catholic friend who was engaged and had her wedding all planned years ago.
During the engagement, she became pregnant. When she was six months pregnant, the fiancé/father canceled the engagement and wedding.
She has never married, but has raised her son mostly alone.

Q: Is there any way she can get married in the Catholic Church?

Yes, since she was never married she faces no impediments to being married in the Church.

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