Yes, it’s possible for a website never to be indexed by Google. But it’s not likely.
Googlebot, Google’s web crawler, scours the internet for new and updated websites to add to its search index. If your website isn’t crawled and added to the index, it won’t appear in search results.
There are a few reasons why Google might not index a website. Maybe the website is brand new and hasn’t been crawled yet.
Or maybe the website has been blocked from being crawled by the site owner. Or perhaps there are errors on the website preventing Googlebot from crawling it properly.
By Using <meta> tag:
To prevent your page from the most search engine web crawlers place the following meta tag into the <head> section of your page:
<meta name=”robots” content=”noindex”>
To prevent only Google web crawlers from indexing a page:
<meta name=”googlebot” content=”noindex”>
To block the entire site, use the following robtos.txt code.
Disallow: / blocks the entire site.
Finally, keep strictly monitor that no one would ever link to it from another website.