Hi there @vdhsca1 . I’m happy to help you out with this!
It doesn’t look like this is a feature or setting built into Brooklyn. In order to do this with Brooklyn it would require some custom coding. If you aren’t comfortable coding yourself you can hire a Shopify Expert to assist you with this. Shopify experts are trusted, third-party agencies and freelancers who offer services for Shopify merchants. You can learn more about Shopify Experts on this page or hire one through the Experts Marketplace here. That being said, in this case I would recommend you switch to another theme to accomplish this without any custom coding.
Have you considered upgrading to our new theme architecture, Online Store 2.0? Online Store 2.0 themes give you much more control over customizations. The biggest benefit for you is that all of our free Online Store 2.0 themes automatically center product informaton for products with no images. Products with images will automatically be displayed with the product information to the right of the images. I’ve included an example of what this looks like below using the theme Dawn.
Another benefit to Online Store 2.0 themes is that you can easily create separate page templates within your theme editor. So if you did need to set up one product to have a different layout than the rest of your products, you can do that by creating a new product page template in your theme editor. You can read more about using templates with Online Store 2.0 themes on this page.