Not that I believe Hillary, but you can have a diagnosis of pneumonia without an x-ray. It has a distinct sound when you listen to lungs, but some need the x-ray when it’s hard to hear. X-rays are a useful tool to determine if it’s getting better or worse, too.
I’m not in a medical specialist, but if a member of my family was diagnosed as having pneumonia by a neighborhood doc, I’d want more than just an antibiotic Rx thrown at me and a prescription to rest. That’s why I really don’t believe the “pneumonia bug” shtick.