Yes, you can. You have to have a Facebook account to create Facebook page and advertise there. Facebook is one of the most popular and effective platforms to do whatever you want in order to promote your business. It's pretty basic. You can target people according to their age, gender, relationship, passion, location, and so on. Then you can run ads.
You can definitely get good results if you are good at it. You can grow your business pretty fast. Google AdWords was very popular before. Whether you accept it or not, Facebook is one of the platforms that can change your business.
The good thing is, big companies have not invested more on Facbook advertisement yet. So the cost of advertising is low. When big companies come and invest more on Facebook advertisement, the cost of advertising will be very high. What you can do right now with your budget, you have to pay a lot in the future to get the same result.
This is a golden era to do something on Facebook and make more money whatever your business is because you will get your customers over there.