Technically, yes, but relax—it’s not the same chlamydia you’re thinking of. There are two main strains of chlamydia in koalas: one is Chlamydia pecorum, which is the nasty one for them, and another is Chlamydia pneumoniae, which can sometimes jump to humans. But here’s the kicker: you’d basically have to wrestle a koala while covered in infected koala urine or eye discharge to get it. So, unless you’re planning a very specific kind of hug, your biggest risk is still the human-to-human kind.
So, no, you do not need to worry about catching chlamydia from that stuffed koala at the airport gift shop. Let’s all take a collective sigh of relief, shall we? Phew!
