First you should know, that you can never garantee that even if you are doing everything correctly you end up getting in the top of page 1.
BUT, you should have a good chance at it, if you follows all the general guidelines of seo and so on..
That being said, if your EMD domain has 15000+ exact match searches per month and your competition has 0 back links, then you have a decent shot.
But if you have a article site with 5 articles, and the site you try compete with have a huge site full of unique high quality relevant content, then your fucked backlinks or no backlinks..
One of the biggest things in the fight for top position, is to choose your battles ;-)
But if your on a level playing field, then go for it. You should have a great chance!