If you want it, you can achieve it. Study the game. Study tactics. Study positional concepts. Study old masters. Study current masters. Most importantly, I think, play a lot of chess and study your own games.
I've only been playing seriously for about 2 years and I have gone from 1500 to where I am now but I put a whole lot of work into it because I wanted it very badly. And now I am working even harder than I had before because I want improvement more now than ever.
Like everything in life, you will get back what you put into it. I think you will do very well, because you have the taste for it. Good luck and have fun :)