Yes, you can change the EMI due date of your personal loan. You can visit any of the nearby branch of the bank you hold the loan account and talk to the officials of bank to change the due date. Some banks provide the EMI shift date forms for the customers in which you may have to enter details of the loan and your personal details and submit it to the bank. 

In some cases, you may have to contact the grievance officer to change the due date as per your convenient.