Is it possible to add dynamically named properties to JavaScript object?

Yes it is possible. Assuming:

var data = {
    'PropertyA': 1,
    'PropertyB': 2,
    'PropertyC': 3
};
var propertyName = "someProperty";
var propertyValue = "someValue";

Either:

data[propertyName] = propertyValue;

or

eval("data." + propertyName + " = '" + propertyValue + "'");

The first method is preferred. eval() has the obvious security concerns if you're using values supplied by the user so don't use it if you can avoid it but it's worth knowing it exists and what it can do.

You can reference this with:

alert(data.someProperty);

or

data(data["someProperty"]);

or

alert(data[propertyName]);

ES6 for the win!

const b = 'B';
const c = 'C';

const data = {
    a: true,
    [b]: true, // dynamic property
    [`interpolated-${c}`]: true, // dynamic property + interpolation
    [`${b}-${c}`]: true
}

If you log data you get this:

{
  a: true,
  B: true,
  interpolated-C: true,
  B-C: true
}

This makes use of the new Computed Property syntax and Template Literals.

Yes.

var data = {
    'PropertyA': 1,
    'PropertyB': 2,
    'PropertyC': 3
};

data["PropertyD"] = 4;

// dialog box with 4 in it
alert(data.PropertyD);
alert(data["PropertyD"]);