There is a difference as defined on this site. Too much to write all down here, so check these out for your answer.
Difference Between Abuse and Addiction | Dual Diagnosis
Drug Abuse and Addiction: What's the Difference? - HealthyPlac
They go hand in hand.
Drug Addiction: When you are not able to stop using your
drug of choice despite a desire to live without addiction also called as Medical
disorder.
Drug Abuse: The misuse of prescription or over-the-counter drugs
with negative consequences such as Problems at work, home and relationships.