No Pranaav Raj there is as such no password in the admit card of JEE mains and you don't need application password number to access your question paper. The password to access your question paper is generally in a fixed format for all the candidates like your date of birth or starting with your last name etc. which will be told to you before the starting of the exam. So, you don't need to worry about it at all.

You can check the exam guidelines on the link mentioned below: https://engineering.careers360.com/articles/jee-main-exam-day-guidelines

Feel free to ask if you have any more queries. All the best!!