I want to create a small AI startup of about 30 High School students. Would Harvard like this?

You may want to seek out a mentor in AI. Also look at summer programs in AI for high school kids, if you have the money to spend on summer learning. You can use MIT Open Course , to learn more about AI. Start with 6.001 and
keep taking classes, to build up your knowledge in CS.
https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-001-structure-and-interpretation-of-computer-programs-spring-2005/
You may want to find a FIRST Robotics program near you, to learn more about control theory, and AI.

Also look into Khan Academy on line classes to expand your knowledge of computer science and AI.