Yes you can give yourself chlamydia.
A common way of infecting yourself with chlamydia is by having the fluids that cause chlamydia on your hand or fingers and then when you go to touch your eyes or face the chlamydia can infect you that way.
However you usually have to have the fluids on your hand by inserting your finger into an infected woman's vagina or into a mans butt that is infected with chlamydia.
The Chlamydia is most commonly spread through having vaginal sex and anal sex but sometimes oral sex can spread the chlamydia.
Chlamydia is a sexually transmitted infection (STI) caused by a bacteria called chlamydia trachomatis.
Usually Chlamydia doesn't cause any symptoms and can be easily treated with antibiotics.
But if it isn't treated early it can spread to other parts of your body and lead to long-term health problems.