Accessing private instance variables of parent from child class?

No, not according to the java language specification, 3rd edition:

6.6.8 Example: private Fields, Methods, and Constructors

A private
class member or constructor is
accessible only within the body of the
top level class (§7.6) that encloses
the declaration of the member or
constructor. It is not inherited by
subclasses.

But regardless of this language restriction, you can access private fields through reflection:

Field privateStringField = 
   MyClass.class.getDeclaredField("privateString");
privateStringField.setAccessible(true);

String fieldValue = (String) privateStringField.get(privateObject);
System.out.println("fieldValue = " + fieldValue);