Can abdominal pain cause you to feel tightness in your chest?

Sure. Acid from stomach can commonly be misunderstood by the body if it flows backwards into lower esophagus. Consider antacids, not reclining after eating, cold water to dilute the acid, and a visit to a GI doctor.
Yes. I need more details - it could be reflux esophagitis , aneurysm , mi . History and exam including ekg would help . Nothing should be taken fo granted .