Of course. Backlinks are just one strategy and should be incorporated into a broader marketing plan where you work on backlinks, keywords, etc. If you mean you want to start marketing but don't want to work with backlinks I'd start with your keyword research obviously and building your copy and content around that. A good ads campaign on either search of social will help grow traffic. Good content will authentically grow its own backlinks overtime.
Yes why not. With proper keyword and quality content will help you to rank your website. One more important thing that you must use proper internal linking.
Give first priority to keyword research and implement them into the category pages, product pages, and have commercial search intent blog post using long tail keywords.