Is it possible to redefine a JavaScript class's method?

When using a constructor function in JavaScript to create a class, is it possible to redefine the class's method later?

Example:

function Person(name)
{
    this.name = name;
    this.sayHello = function() {
        alert('Hello, ' + this.name);
    };
};

var p = new Person("Bob");
p.sayHello();   // Hello, Bob

Now I'd like to redefine sayHello like this:

// This doesn't work (creates a static method)
Person.sayHello() = function() {
   alert('Hola, ' + this.name);
};

so when I create another Person, the new sayHello method will be called:

var p2 = new Person("Sue");
p2.sayHello();   // Hola, Sue
p.sayHello();    // Hello, Bob

EDIT:

I realize I could send in an argument like "Hello" or "Hola" to sayHello to accomplish the different output. I also realize I could simply assign a new function to p2 like this:

p2.sayHello = function() { alert('Hola, ' + this.name); };

I'm just wondering if I can redefine the class's method so new instances of Person will use the new sayHello method.

is it possible to redefine the class's method later?

Yes. However, you must not assign the new function to a property of the Person constructor, but to the instance itself:

var p2 = new Person("Sue");
p2.sayHello();   // Hello, Sue
p2.sayHello = function() {
   alert('Hola, ' + this.name);
};
p2.sayHello();   // Hola, Sue

If you want to do this for all new instances automatically (and have not used the prototype for the method, which you easily could exchange as in @dystroy's answer), you will need to decorate the constructor:

Person = (function (original) {
    function Person() {
        original.apply(this, arguments);   // apply constructor
        this.sayHello = function() {       // overwrite method
            alert('Hola, ' + this.name);
        };
    }
    Person.prototype = original.prototype; // reset prototype
    Person.prototype.constructor = Person; // fix constructor property
    return Person;
})(Person);

To have a different function for p2, you can just set the sayHello property of p2 :

p2.sayHello = function(){ 
    alert('another one');
}
p2.sayHello(); 

If you use prototype, then you can also change it for all instances of Person (and still you can overwrite it for a specific person) :

function Person(name)
{
    this.name = name;
};
Person.prototype.sayHello = function() {
    alert('Hello, ' + this.name);
};

var p = new Person("Bob");

// let's set a specific one for p2
p2.sayHello = function(){ 
    alert('another one');
}

// now let's redefine for all persons (apart p2 which will keep his specific one)
Person.prototype.sayHello = function(){ 
    alert('different!');
}

p.sayHello();  // different!
p2.sayHello(); // another one