@blossom Yes and no. Applying to a school one doesn’t want ED is not a good idea.
However, I also do not believe that there is One True College for every student. So putting all one’s efforts, and all one’s hopes and dreams into a college which is almost certain to reject them is a waste of more than ED, but of the next few years.
The OP should first look through the huge number of colleges out there with Neuroscience programs. They should choose one of the colleges which is the best fit to them if they want to apply ED.
The OP is saying two things, the first is “I want to study neuroscience”, and the second is “I want to study at Harvard”. I think that they should focus on the statement which presents a plan for the OP’s next four years and beyond, not one that presents a plan that ends in December.
I also think that there are much better places for the OP, especially if they are not only looking for an undergrad in Neuroscience, but about continuing on to grad school.