JSFiddle - React, Tailwind, and code Playground

JavaScript

var str = '[Feb 6, 2013]',
    userDate = new Date(str.match(/^\[(\w{3})\s(\d+),\s(\d{4})\]$/).slice(1).join(' ')),
    isFuture = new Date < userDate;

console.log(isFuture);

document.body.textContent = 'Is ' + userDate + ' in the future? ' + (isFuture ? 'Yes' : 'No') + '.';