The short answer is Yes you need a website to create the Google ads account and without the google ad account well there's no way for you to run an Ad.

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Don’t get confused if you’ve found online something called lead form extensions which is a Google ads extension that provides a form fill, when a user clicks on your ad, a form pops without the user ever needing to go on a website despite this feature you still need an active Google ads account and therefore you need a website.

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