It can be difficult to grow a page in the beginning. I always recommend people managing new pages start by regularly liking and commenting on other pages with high engagement and the type of followers you would like to attract.
On Facebook pages with less than 100,000 followers, Facebook does allow users to invite people who like their posts to like their pages. This is particularly handy on journalist pages, where the main brand account has shared a post to the main page and it has received more likes than usual or on posts with a lot of shares and likes.
To invite people, just click on the people who have liked the post. A screen will pop up allowing you to invite people to like your page.