Wikipedia pages are just like all others pages on the Web. Some Wikipedia pages have really high authority and are nearly impossible to outrank, while others can be outranked quite easily. It all depends on the keywords you are going to rank your website for, the length of Wikipedia article, the number of links that point to that article, etc.. There is no one single solution to this.
So first, we advise you to research whether it makes sense to outrank that particular Wikipedia page, or you'd better focus on promoting your site for some other, less competitive keywords.
If you decide that it will work out all right, you need to promote your site using the tried-and-true SEO practices: build a diverse range of backlinks, vary your anchor text, have perfect On-Page SEO, etc..