Why the Class Adapter Design Pattern Can't Use an Interface Instead of Multiple Inheritance?

I've recently learned the Class Adapter pattern. In order to implement it, the language used must support multiple inheritance since the adapter class must inherit two classes, the Target, and the Adaptee. So in a language like Java, it could not be done.

But why couldn't it use an interface Target instead of a class Target? More inline with the Object Adapter pattern as well. Just switching from object composition (Adapter having the Adaptee) to single inheritance (Adapter inheriting the Adaptee). By using an interface, I don't see the design difference, and as a result, the pattern can be used in Java.

Link to object adapter and class adapter class diagram