Can a person have both oppositional defiant disorder and schizophrenia mixed together?

Yes. Although, the diagnosis of oppositional defiant disorder is generally a condition affecting children whereas schizophrenia has as its' most common age of onset in the late teens or early 20s.
ODD & Schiz. Sure, odd is usually diagnosed in mid to late adolescence, & schizophrenia in late teens to early adulthood.