Can your back being out of alignment cause you to have abdominal pain?

Not commonly. "back alignment" is not generally the cause of any symptoms unless in the setting of major trauma. Chiropractors often refer to the back being "out of alignment" as a source of many issues but can't honestly say that re-alignment helps in any way. Abdominal discomfort is very rarely associated with the back. If you have abdominal pain your source is probably within the abdomen or muscle wall.