Can primary sjogren's syndrome cause hair loss?

Possible. But not part of sjogren's syndrome is an autoimmune disease affects secretory glands may have contributed to fall of hair. Also consider the the medications ( chemo ) you took before and current medications could be the cause , speak to your doctor.
Yes. Some of my patients have experienced hair loss in the setting of sjogren's, but it occur as well from the medications we use.