Override operator using class method in c++

Question

Is there a way to override a stream operator like << or >> by using other class methods, such as read() and write()?

For example,

//In the header file
class Customer
{
    void read(istream &, Customer &);
    istream & operator>>(Customer &) = read();

    void write(ostream &, const Customer &);
    ostream & operator<<(const Customer &) = write();
}

It is a requested feature from a question in the textbook, no friend allowed.