No. Calling it both is equivalent to calling schizophrenia or Alzheimer's a moral failing. The whole medical issue with addiction is that it short circuits choice, and it's hard to imagine a moral issue about which people have no choice.
Just to clarify, if a person uses drugs recreationally, and becomes addicted, you think they're morally equivalent to an Alzheimer's patient? Or are you talking, I hope, about people that became addicted to their prescription pain medication?
And to clarify from your earlier post, if I said that getting high is a moral failing, you wouldn't find that bizarre? It's just if I were talking about the resulting
addiction as a moral failing?
For my own part, I see no reason to believe there is a great gulf fixed between the moral and the medical. A person can incur medical issues from their choices. For example, a firefighter that saves a child from a burning building, but suffers lasting complications from the fumes of the meth lab that started the fire. It's not a stretch to say that his heroism contributed to his medical problems, is it? Flip it around, and it can make sense to say that an addiction is both medical, and the result of a moral failing, yes? Or why not?