Yes! there a lot of tips like advertise on Facebook, share with friends, ask others to share your fan page. Outsource getting likes on Fiverr. etc.
You can put a reveal tab on your page, this forces non-fans to like your page first before viewing your content
Create a paid campaign to target your audience, spend minimum money like 1$ per day and target them on your facebook fan page. Use to engage your fans on your page and become a brand then you will see how rapidly your fan base will grow suddenly.  Â
I would just buy some first...if you look legit more people will be likely to click and see what's going on.
And where would you buy some? Fiverr has many tempting offers but I hardly believe them. And if you want to promote a small niche company, people will not going to like it.
Create a paid campaign to target your audience, spend minimum money like 1$ per day and target them on your facebook fan page. Use to engage your fans on your page and become a brand then you will see how rapidly your fan base will grow suddenly.