jQuery to test If user has Full control on current page in SharePoint 2013

As an example, the below jQuery displays current SharePoint user title.

Is it possible to use the sp.js objects  to test  If the current user has Full Control on the current page or Site and send an alert if they do?

Many Thanks.

ar context;
var web;
var user;

// This code runs when the DOM is ready. It ensures the SharePoint
// script file sp.js is loaded and then executes sharePointReady()
$(document).ready(function () {
    SP.SOD.executeFunc('sp.js', 'SP.ClientContext', sharePointReady);
});

// This function creates a context object which is needed to use the SharePoint object model
function sharePointReady() {
    context = new SP.ClientContext.get_current();
    web = context.get_web();

    getUserName();
}

// This function prepares, loads, and then executes a SharePoint query to get the current users information
function getUserName() {
    user = web.get_currentUser();
    context.load(user);
    context.executeQueryAsync(onGetUserNameSuccess, onGetUserNameFail);
}

// This function is executed if the above call is successful
// It replaces the contents of the 'helloString' element with the user name
function onGetUserNameSuccess() {
    $('#message').text('Hello ' + user.get_title());
}

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Thank You
cyberpine.com