Can an overriding method have a different access specifier from that in the base class?

Which access modifier, in an abstract class, do I have to use for a method, so the subclasses can decide whether it should be public or not? Is it possible to "override" a modifier in Java or not?

public abstract class A {

    ??? void method();
}

public class B extends A {
    @Override
    public void method(){
        // TODO
    }
}

public class C extends B {
    @Override
    private void method(){
        // TODO
    }
}

I know that there will be a problem with static binding, if someone calls:

// Will work
A foo = new B()
foo.method();

// Compiler ?
A foo = new C();
foo.method();

But maybe there is another way. How I can achieve that?