You cannot download your hall ticket without your application number. However, most TET websites allow you to retrieve your application number if you have forgotten it.

• Visit the official website of the TET exam you applied for (e.g., APTET, TGTET, HP TET).
  
  
• Look for a section on "Forgot Application Number" or "Retrieve Application Number." This section might be under "Candidate Login" or "Registration."
  
  These details might include your name, father's name, date of birth, email address, registered mobile number, or any other information you used while applying.
  
  Once you provide the required details, the website should allow you to retrieve your application number. They might send it to your registered email or display it on the screen.
  
  Once you have your application number, log in to the candidate portal with your application number and any other required credentials (password, date of birth).
  
  Look for a section on "Download Hall Ticket" or "Print Admit Card."
  
  Download and print your hall ticket for the exam.
  
  https://competition.careers360.com/articles/tet-exams
  
  I hope it helps!