Can I rank new website in 2 months?

Hi guys!
From a long time I was afraid from the SEO and the long time it need to start getting results! But now I want to start that!
If I start a new site and do that:
Index it in google
Do HQ kw research and get some long tail kw's with low competition
Posting HQ article focusing on those kws
Optimising the ON page SEO
Start a link building campaign by buying links from BHW marketplace
Getting some social signals

How much time I need to start getting traffic from Google?
2 months can be…

Can I rank new website in 2 months?