I don't think this is possible with white hat SEO, but you can try by following these tips...
1) find REALLY easy niche and keywords to target (ignore the 2000 per month search volume for now, just focus on lower volumes as those tend to be easier to rank).
You can use Semrush (costs less than $20 per month if you buy it from sellers in the marketplace) to find good keywords...
2) plan out and structure your site in such a way that...
- it's blazing fast
- it's mobile friendly (I've heard people say that google doesn't even index websites that are not mobile friendly, so don't ignore this)
- it's clean, clutter-free, intuitive, and easy to navigate
- has no technical issues of any kind (no broken links, no crawlability and indexability errors, no missing tags, no faulty redirects, etc)
- it's logically categorized (siloed)
- it uses relevant schema where appropriate / needed
- it uses smart internal linking between all of the pages that you wish to rank
3) create high quality content. By "high quality" I don't mean only grammatically correct (although this is needed too), I mean content that...
- is grammatically correct, like I said
- is NOT generated by the retarded AI, but if you do wish to use AI at least manually review and edit the content to give it a human touch
- covers the topic in great detail
- is focused on an angle / point that your competition doesn't cover well / at all
Just check the top 10 ranked pages for your target keyword / topic, aggregate their content to find the common points and expand on them (if possible), but also to find the points that your top 10 competitors are missing so you can cover those.
If you do these you'll probably outrank at least some of your competitors (most likely the least authoritative and / or less topically relevant and / or less trustworthy ones). To outrank the others you will need higher authority and / or trust, which boils down to backlinks and EEAT
4) promote your site anywhere and everywhere you can, don't wait for google to rank you as this might never happen...
Depending on your niche, try advertising on / contributing in...
- specialty forums
- UGC sites (Pinterest, Reddit, Quora, Tumblr)
- social media
- youtube
5) start building links, slowly but steadily. And only quality ones, focus on getting 1-2 links per week, but from pages with organic traffic and which are relevant to your page / site
Not sure that you'll still rank within 2 months (or that the rankings will stick), but it's the closest thing you can do that I can think of when it comes to white hat SEO, so try it if you're desperate, or motivated enough
- getting there takes time (especially if you're doing it "safely" like you're trying to do), anywhere from 3 months (if you're lucky and do everything well) up to 6-9 months or more...
- staying there takes effort (you'll be constantly fighting google's infinite updates that target white hat dudes specifically first and foremost, and you'll also be constantly fighting other people trying to outrank you, so prepare yourself financially and mentally for the battle)...
- once you get there (even at #1) you're not guaranteed any traffic (zero click searches are a real thing nowadays with the invention of the abomination called AI), and if you do get traffic you're not guaranteed conversions (sometimes google sends the highest quality traffic to only the sites that they want, which is usually sites that buy google ads, or google partners like Reddit)...