Can chlamydia to make you infertile?

Damage to the tubes. Chlamydia can lead to scarring of the tubes, and can be a major factor in infertillity. It also increases the risk of ectopic pregnancy (a pregnancy outside of the uterus, most likely in the tube.).
Yes. There is some evidence of a 30% risk of tubal damage leading to infertility or ectopic pregnancy after chlamydial infection. Very often, it is a silent infection & may be present for many years. There are some that test every patient for std every year. We did a planned parenthood study years ago showing a 28% incidence of chlamydia over a year in all patients, n one of whom had symptoms.
Yes. Chlamydia infection can lead to both male and female infertility.