Does Diablo III have cross-platform partnering?

I just got Diablo III (yes, I'm late to the game) for the PS4. My wife has a Nintendo Switch and is thinking about getting Diablo III. Would it be possible to play with cross-platform partnering? If so, how?

If it matters, the two systems would be on the same wireless network.

While cross-platform co-op is not supported in Diablo 3, you can definitely do couch co-op on the PS4. Both of you will be on the same screen (without splitting it in half like in some other co-op games) and it's very fun game to play together. You just need a second controller to do it.

No, there is no cross platform play for Diablo III