From Yiddish נודזש (nudzh, “boring person" ).

What is a noodge Yiddish?

Slang. a person who noodges. Word origin. < Yiddish nudyen, to be tedious, bore < Russ nudnyi, tedious.

Where does the word nudge come from?

The word nudge likely comes from a Scandinavian word like the Norwegian 'nyggje' or the Icelandic 'nugga', both meaning 'to jostle or rub'. The English usage of nudge dates back to the 1670s.