As an interviewee, should you take notes during interviews? There may be some interviewers who like to see the candidate taking notes but they are in the minority. If some technical information is given that you need to transcribe, then ask permission and write it quickly.
As an interviewer who interviewed personally hundred of applicants, and the author of the book, "Much of What You Know about Job Search Just Ain't So," I much preferred to see the candidate's eyes during the interview. From the job seeker's perspective, it is very important for you to observe the body language of the interviewer during the interview. If you are busily engaged in writing everything down you may miss a doubtful grimace, a roll of the eyes, or other negative practice. And you will also be able to observe positive body language that will aid you in enlarging on your experience or accomplishments.
So, no is my answer. But, immediate after the interview, go to the nearest private place (possibly the restroom stall) and write down everything that you want to be certain to remember about the interview including notes about the short letter or email you will send as a follow-up thank you.