Is it possible to declare a method simultaneously abstract and static?

No, it is not allowed.

• Abstract method must be overridden in the subclass. It has no implementation.
• Static method belongs to the class, not a specific object. It cannot be overridden (in the usual sense of polymorphism, it can be "hidden" in a subclass).

These two concepts contradict each other. An abstract method requires implementation in an instance of the subclass, whereas a static method cannot be called on an instance and is not part of the object's polymorphic behavior.

The Java compiler will produce an error when attempting to declare such a method.

// Compiler will produce an error
public abstract class MyClass {
    // Error: Illegal combination of modifiers: abstract and static
    // public static abstract void myAbstractStaticMethod();
}