Yes, most definitely. Over many generations. They're the same species as wild minks, but domesticated (just as dogs are same species as wolves, but domesticated).
And the scientific community agrees. For example, see this paper: https://bioone.org/journals/wildlife-biology/volume-15/issue...
It's true that they've not been domesticated as long as dogs, for example, but there are clear morphological differences between the two.
Most importantly for our conversation, infectious diseases can behave very differently in wild and domestic populations, for reasons of population density, immune status, etc.