Is NYU a reasonable school for me to shoot for?

<p>I am a very good student...I am in 10th grade. I am currently getting all A's and I am in Model U.N also I partake in the French Club and once I am able to get my drivers license I will be volunteering at my local hospital because I want to be an ER Doctor when I am older. I am a very gifted writer and reader I easily breeze through subjects such as english and history without even studying. I have recently decided I would like the attend NYU I think I have a fair chance of getting in there. I am in all college bound classes with the exception of math with I am not so good at. But I do plan on taking an SAT prep course soon and I plan to be in all Honors/ AP next year and double up on math classes next year as well. Also this summer I am taking part in "The National Youth Leadership Forum on Medicine" and I plan to study abroad in Europe next year. Also I hear that NYU bases a lot off of your entrance essay which is a huge bonus for me. I love New York City and NYU is a top notch school where I hope to major in Pre-Med then hopefully get into their medical school. Will I have a good chance at getting in?????</p>