Unfortunately yes, it is wrong... " oare " is used when you ask yourself something/ wonder about something.
" I wonder if I can speak English?!= oare pot vorbii engleza?/ mă întreb dacă pot vorbii engleza?! "
If anyone else gets the multiple choice and gets confused as to why "Chiar nu vorbesc limbă engleză!" is wrong, note that it should be "limba" here not "limbă" - "the English language" not "English language".