Yes! Post great content, tell people about your site, and be patient! But also remember that Likes don't equal revenue. Some people argue that Likes are irrelevant ... so don't get too hung up on them.
This forum is littered with threads on how to increase Facebook likes and good information on how to do it naturally, without tools. Please do a search and find some answers in these threads. Then if you have a specific question that isn't answered in a thread, feel free to post that specific question.