The Chlamydia has to come from somewhere to start with. It's only passed on sexually via body fluids. e.g semen or vaginal juice. So yes you can pass it on thraough anal sex just as easily as you can through vaginal sex, one of you has to have Chlamydia in the first place.
Just before you start throwing accusations around though bear in mind that Chlamydia often doesn't cause any symptoms, so one of you could have had it for a long time without knowing. So its worth thinking when were you and you booyfriend last screened and known to be clear of STIs?
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