Log in In Swtor with one time password impossible.

There is an email available however calling them will honestly be faster. Also for something like this since your not texting the email and you cannot login online if you call them, once you verify your account they should be able to assist.

If you have another email like a gmail or create one I would have them update your email to that or ask if they can provide a one time password directly over the phone. You would need to talk to them to find out.

Once they provide a password or change your email to aa gmail, resend the one time password to that gmail and log into your account online at swtor.com

Once you are logged in, down the swtor security key app for your phone and add it to your account. Once you have that in your account you will never have to use a one time password again since the security key takes the place if it. Then you just use the security key app and your normal login to log into the game.you'll also get 100cc a month for having the security key.