Yes, but way more difficult than you might think. The way you describe your question you seem not to have to store the datetime in the database, so this is a Mendix way of doing that:

• from the appstore download the HTML-widget
• add a textelement to the page giving it in tab General, in block Common the value Name ‘TickingTime’
• Below that, add the HTML-widget to the page, selecting Javascript, not HTML nore Javascript with jQuery

setInterval(function(){ document.getElementsByClassName('mx-name-TickingTime')[0].innerHTML = new Date();}, 1000);