As the API documentation says:
The API Documentation wrote:InvocationTargetException is a checked exception that wraps an exception thrown by an invoked method or constructor.
In other words, if you use reflection to invoke a method or a constructor, and that method or constructor throws an exception, then the reflection code will throw you an InvocationTargetException.
Can you write a simple Java program to display that behaviour? Sure, just write code which does that. Which uses reflection to invoke a method which throws an exception. Although many programmers wouldn't consider the use of reflection to be "simple". So perhaps you can't.
And using reflection isn't something usually discussed in the Beginning Java forum, so perhaps you don't need to have this question answered just yet.