Absolutely not! You should apply to more than one school, because the admissions process is not completely predictable. It is never a good idea to “put all your eggs in one basket.” There is always more than one fit for a student. If you have only found one school that you like so far, it simply means your research is not complete.
These are some programs that are popular among high school students. This is by no means an exhaustive list of nationally recognized programs. Boy’s/Girls States