Not enough information to know really.
What is your competition. How old are they, how many links do they have?
Do they have authority? Are they actively doing SEO themselves?
Without competition analysis of the exact sites you are trying to beat - the question can't be answered in a meaningful way.
The answer is "Be one better than the guy you have to beat"
Without knowing pretty much everything about your competition, you're just pissing in the wind. Might work... might not.
Scritty
Thank you very much for answer.
I wouldn't name exactly my competitor sites and my niche, but let me describe them in general:
Most of my competitor sites are 12-24 months old, all of them have approximately 500 backlinks (some articles and directories - nothing special). All of them are PR0 or PR1, none of the sites are PR2. They are not actively doing SEO, just from time to time (every few months) there is a jump of backlinks seen on Ahrefs. Their on-page SEO optimization is closer to weak than good.
Using Keyword Revealer, my niche is low to medium competitive. Each keyword has Keyword Competitiveness (KC) between 27 and 33 according to Keyword Revealer.
I will point focus on 2 different sites ranked #1 for different keywords in my niche. 1st site is ranked high and using black hat tools, 301 redirects and so on. The site is ranked #1 because of that, but it has also few sub-pages with articles about each keyword that is ranked high. So, not perfect, but good on-page optimization.
2nd site is ranked #1, but not because of high quality backlinks (backlinks are nothing special, close to some junk), but this site has approximately 20 000 Facebook shares. So, I guess this is the reason for high ranking. This site is only ranking its home page for all keywords, but home page contains less than 300 words and in these words are not written keywords. This site only contain keywords in Meta Title and Meta Description. This site is 2 years old. Also, I am not sure have this site properly cloaked affiliate link. It is hard to believe that this site can be ranked #1.
Then my website... I created my website and registered brand new domain 15 days ago, it has like 20 different articles for every keyword, 100% unique handwritten content, each article between 600-800 words, perfect keyword density (3-4%), perfect SILO architecture and on-page optimization in general, working robots.txt and sitemap, Facebook fanpage with 2000 likes and still growing, Twitter profile with 8000 followers, and verified Google+ page (done Google Authorship) with 100 followers.
For backlinks, I am building only PR1 to PR6 SAPE links, mixing home page backlinks and normal backlinks, using different anchor texts (more than 30 different ones), it is not over-optimized, no more than 10% on any anchor text (according to Ahrefs).
So, I started link building almost a week ago and rankings are already visible, but still dancing. I am around position 50 for main keywords, and around 20 position for long tail supportive keywords. The problem is that I am already "visible" on Google, I would rather be " ? ", means dancing all the time because it is higher chance to jump to page 1 than when I am visible around position 20 or 50 all the time. I have built approximately 800 highest quality high PR links.
So, answer on the sentence:
"
The answer is "Be one better than the guy you have to beat" "
-> I am already better than my competition, but the only thing that I can not change is domain age. I am 15 days old website in comparison to 1-2 year old competitor websites.
So, any chance to jump over my competitors on SERPs with brand new domain?