It is not possible in Java (nothing is more private than the fields marked as "private"), but if you think about it, it is also logical: you can modify private fields of other objects only in the common class source code, and if you control the class source code, you could do any bad or good things anyway.
BTW, you can access even private variables of other classes via reflection, if there is no security manager installed, or the policy of the security manager allows it, see this: Why is it allowed to access Java private fields via reflection?