Not directly. Google has said for decades that paying for ads doesn't influence organic rankings, and no credible test has ever shown otherwise. The ad auction and the organic algorithm are separate systems.
Indirectly, ads help the way any traffic does: more visitors means more people who might link, review, or search your brand later. And the search-terms report is the best keyword research your SEO will ever get, because it's real queries with real conversion data attached.
The practical relationship: ads buy today's demand while SEO compounds toward tomorrow's. Run ads for revenue now, feed what they teach you into the pages you want ranking later.