Can chest pain from GERD last for a week? I feel that this is the cause but I'm unsure how to get rid of the pain?

Uncommon. The pain location, radiation, characteristics, behavior with regard to meals or to changes in position are critical in understanding the cause for your pain. I would suggest seeing your doc. If you had had similar symptoms in the past that are getting worse now and in the right clinical setting this may be already an ulcer.