Can you optimize a single page website to rank in the search engines?
How? And, what are the challenges
You do exactly the same as you would for a larger website – write top quality content, put in suitable in-page navigation and sub-headings, and try to promote it in relevant places.
Google ranks pages, not sites, so to some extent it doesn't matter whether your website has one page or a thousand, because each page is considered on its own merits. Having said that, a larger site covering a broader range is likely to attract Google's attention more, simply because there are more potential entry points.
MAybe building backlinks and promoting to social media
It doesn't mater how many pages website has cause after all only one URL/Page is ranking at the. This is the same as if heaving a single page site. Post some mind blowing content in there and it will hit the roof.
Number of Pages does not matter, Content matter. You can promote the page in social media to make it visible in search engine. Make it fully SEO optimized.
Whether its website of 1 page or more than that same is to done, On Page and Off Page both are the work which is to be done in SEO for Website along with this you are able to generate results. In Off Page Slowly it shows the results in form of keywords ranking and traffic.
The website does not matter. if your website optimized SEO firendly and if your website having Quality backlinks Easily getting position on Search Engine So Should be follow google updates and algorithms and SEO onpage and off page steps.
Everything that can be said has been said