First of all, MIT does offer a nuclear science and engineering major (Course 22).
In fact, MIT has a 6 MW nuclear research reactor right on campus. It is the 2nd largest university-based research reactor in the US. As such, you will see lots of radiation detectors on top of campus buildings as a precaution.
The reactor was used to research boron neutron capture therapy (BNCT) for treating brain tumors and skin cancer. Nowadays, it is used for plasma research and for doping silicon. In fact, MIT makes millions of dollars by doping silicon, which it then sells to chip manufacturers.
Some classes will even give you the opportunity to tour the inside of the reactor. I took a 6 unit seminar in nuclear engineering and we got to tour inside. They have you carry a radiation meter when you enter and measure how much you got exposed to when you leave. The control room looks like NASA mission control. It was awesome.
But getting back to your original question… “Chance me nuclear engineering MIT”. Unlike some other colleges and universities where you apply to a specific major, you do not have to worry about that at MIT. Instead, you declare your major AFTER you start school. Some students declare their major during their freshman year, but that is not required. In actually declared my major after the 1st semester of my sophomore year. You can even change your major later on. MIT gives you that flexibility. You are not expected to know what major or career you want to pursue when you are just a high school senior. At MIT, you can explore, try out classes in different fields, and see what you really enjoy doing.
As such, there is no chancing you for nuclear engineering at MIT. Rather, the more appropriate question would be “chancing you for MIT”… period.
I am sure you have great qualifications. You obviously have a great GPA. But MIT gets LOTS of highly-qualified applicants every year, so chancing you would be nearly impossible,
All I can say is apply anyways. I am sure you will get into a great school, MIT or otherwise. Best of luck!