Sure they do. There are literally thousands of stories of people who were in a car wreck, sports accident, or some kind of injury and then they get prescribed Oxy and when that runs out they are so addicted they end up getting black market pills and then when they can't afford that they move to heroin.
Opiates are insanely physically addictive and you can easily accidentally become addicted to them using them as prescribed, hence all the lawsuits.