1
general::
Also, not by any means. In no way, certainly not. For example, He is by no means a weak opponent, or Not by any means will I go along with that decision. [Late 1400s]
American Heritage Idioms
2
general::
Phrase(s): by no means
absolutely not; certainly not. • I’m by no means angry with you. • Bob: Did you put this box here? Tom: By no means. I didn’t do it, I’m sure.
McGrawhill's American Idioms And Phrasal Verbs