Freshman year no. Sophomore year you can apply for gender inclusive housing. That information can be found on ResLife’s website
In previous years Sharp has not been allowed to be gender neutral, but the locations change each year. In order to apply for gender neutral you must have a one-on-one meeting with Assistant Dean, Brooke Surprenant, who will also be able to answer your previous question.
The only options for Gender Neutral Housing are RAHP A, RAHP B, and Polytechnic Apartments. It should be noted though that Polytechnic Apartments are only for Juniors and Seniors. From this I would say a good chance.