Uncatchable ChuckNorrisException

Is it possible to construct a snippet of code in Java that would make a hypothetical java.lang.ChuckNorrisException uncatchable?

Thoughts that came to mind are using for example interceptors or aspect-oriented programming.

I haven't tried this, so I don't know if the JVM would restrict something like this, but maybe you could compile code which throws ChuckNorrisException, but at runtime provide a class definition of ChuckNorrisException which does not extend Throwable.

UPDATE:

It doesn't work. It generates a verifier error:

Exception in thread "main" java.lang.VerifyError: (class: TestThrow, method: ma\
in signature: ([Ljava/lang/String;)V) Can only throw Throwable objects
Could not find the main class: TestThrow.  Program will exit.

UPDATE 2:

Actually, you can get this to work if you disable the byte code verifier! (-Xverify:none)

UPDATE 3:

For those following from home, here is the full script:

Create the following classes:

public class ChuckNorrisException
    extends RuntimeException // <- Comment out this line on second compilation
{
    public ChuckNorrisException() { }
}

public class TestVillain {
    public static void main(String[] args) {
        try {
            throw new ChuckNorrisException();
        }
        catch(Throwable t) {
            System.out.println("Gotcha!");
        }
        finally {
            System.out.println("The end.");
        }
    }
}

Compile classes:

javac -cp . TestVillain.java ChuckNorrisException.java

Run:

java -cp . TestVillain
Gotcha!
The end.

Comment out "extends RuntimeException" and recompile ChuckNorrisException.java only :

javac -cp . ChuckNorrisException.java

Run:

java -cp . TestVillain
Exception in thread "main" java.lang.VerifyError: (class: TestVillain, method: main signature: ([Ljava/lang/String;)V) Can only throw Throwable objects
Could not find the main class: TestVillain.  Program will exit.

Run without verification:

java -Xverify:none -cp . TestVillain
The end.
Exception in thread "main"

Stack Overflow Q#13883166, score: 320