Hi AllaMoh,
There is no way for your requirement using business rules,For this You have to write Javascript Onchange,You can see below code:
var currentDateTime = new Date();
var millis = currentDateTime.getTime() + (currentDateTime.getTimezoneOffset() * 60000);
currentDateTime.setTime(millis);
Xrm.Page.getAttribute(fielName).setValue(currentDateTime);
Try on this,may it will help you.
Thanks