Can back pain be due to dry cough?

Yes, back pain can be related to repeated bouts of coughing (resulting from both dry and chesty coughs).

The most likely reason is that you have strained a muscle in your back.

For some people, a severe bout of coughing has been known to cause hernias, or small fractures of the ribs. These instances are, thankfully rare.

If your problem is a muscle strain, I would recommend the use of Arnica gel applied to the affected area.

If the problem does not improve within a week, you should seek the advice of your doctor as any unexplained pain should not be left unattended.