why not?! On-page SEO doesn't matter much for google these days. Sites are ranking because of the links mostly not because of the on-page optimization. The question is not how well optimized a site is on-page but how relevant it is, how big, how many links it has and what kind of links. Obviously in your case probably has lots of good links since you say it is an authority site. However a site like wikipedia has very few pages about a specific topic. If this is the case then it is doable. If however that site is about that keyword, i mean all the site is centered around that topic/keyword then it will be very difficult.