The short answer is no. The exchanges don't work.
In some contexts you might turn She can't have drunk that much coffee (which is fine) into She isn't/wasn't able to have drunk that much coffee but it's an uncomfortable mouthful.
She wasn't able to.... is far more likely to be used in a context such as She wasn't able to reach the the fruit without using a ladder, referring to someone's physical limitations.
It can be possible that he has forgotten... is not idiomatic. People would simply say It is possible that he has forgotten....
Is able to be possible.... doesn't work at all. We don't generally use able after it. Creatures are able, organisations and governments are able. We even talk about machines and vehicles being able. But it isn't able unless we already know what it refers to. That's to say that you can't use a placeholder it, as in It is able to rain when you mean that it might rain.