Yes, a girl can be fertile at 13.
Fertility in girls begins with the onset of puberty and the start of menstruation (menarche). This generally occurs between the ages of 10 and 16. Once a girl begins to ovulate, which is the release of an egg, she is considered fertile and capable of becoming pregnant. While the average age range for reproductive capability is roughly 12 to 51, a 13-year-old girl who has started menstruating is biologically capable of becoming pregnant.
Therefore, at 13, a girl can be fertile, assuming she has begun ovulating. However, it's important to emphasize that just because a girl can become pregnant does not mean it is physically, emotionally, or socially ideal for her to do so.