Ranking a one page website was a breeze some months ago. Nowadays its not so easy. You can rank it, but not on the first positions of the SERPS. What you can do is to have a website of one main/important page (this is usually your homepage) and atleast 10 inner pages (contact us, privacy policy, terms and conditions, some blog posts). Then you can point the majority of your backlinks to your homepage and a fraction of them to your inner pages. You have to be sure that you are following some basics (I call them logical) rules for anchor text and platform diversification.