Google has its own algorithm strategies to index your site to the 1st page: yes i have seen many people getting their web pages ranked in the first page in a week: As fast as they reach the first page, wtih the same speed they will draw back: As mentioned by @proseocontent there are lot of factors to consider to make your website list in the 1st page.dont rely on shortcuts, this is where the SEO analyst does research and come up strategically and patiently to healthily index the web page.
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If you want to rank a brand new website, don't forget about the Google sandbox. Any new site gets a "penalty" which lasts from 3 months to over a year. While in the sandbox, the site cannot rank.
Unless you are lucky enough of not having enough competitors or you have been an expert SEO manager than it can be a possibility of ranking on 1st page. With black hat or grey hat, it can be done easily but with white hat you need patience but white hat benefits long term.