A bit abrupt. Your second sentence is a good start.
I have always felt a vocation towards business. It has interested me both as a study and a lifestyle.
Maybe try a semicolon instead of a period seperating these two clauses.
I also hope to create a NPO.
This seems really random. If you can tie this to something else in your essay, that would make it better.
I firmly believe that admission into the Stern School of Business is the first milestone in achieving my goals.
I wouldn't say admission to the school is part of your life dream. Rather something like "Attending the Stern School of Business would be a strong step toward my goal of ______"
drastically satisfy my eager search for knowledge
Try "quench my thirst for knowledge" instead? Drastically seems like an extreme word.
place me one step closer to achieving my dreams
"Bring me one step closer to realizing my dreams."
I have been to 31 countries
...so? If you've been to that many countries, wouldn't your horizons already be wide?
core of the universe
what. NYC is
known as the capital of the world, so you could use that.
There is no need to follow my advice if you do not think it makes the essay better. Just do what you think works best!
Good luck with NYU!