Yes you can! Our EF Indonesia teachers come from a wide variety of backgrounds and having a degree in English or education is not necessary to become an ESL teacher at EF Indonesia.
For candidates whose degree was not in education, then you will need to take a TEFL course. This is a one month English teacher training course that prepares you on the basics of teaching English as a second language. There are many courses out there, of which CELTA from the University of Cambridge is the most popular.
When choosing a TEFL course, make sure there is a classroom teaching component included. You can study the theories, techniques and methodology online, however, it is very important that your course includes real teaching this is observed by the TEFL trainer.