Yes, there are specific strategies for optimizing existing pages for local SEO. One of the most important strategies is to focus on on-page optimization. This includes incorporating local keywords in the URL, title, H1 tag, and throughout the content. By doing so, you can increase the relevance of your page to local searches. Additionally, it's crucial to prominently display your address on the target page and use schema markup. These strategies will help improve your page's visibility and rankings in local search results.