Nope it won't affect your CIBIL, however it will create a small nuisance by creating an application number everytime you check for pre-approved cards. So, when you actually apply for one, chances are you will get a rejection msg with reason: Previous application in progress.
Solution is: Mailing HDFC to close your previous applications and start afresh. If you have HDFC Bank account you can ping your HDFC Bank RM. They can do it from their end also. 🙂