Since Brown is test-optional for the next academic year, you would have a higher chance of being accepted if you opted not to submit your SAT score.
75% of enrolled students have an SAT score above 1440 composite out of 1600, according to the Common Data Set. There is an astronomically low chance for you to be admitted if you're scoring a 960 on the SAT, unless that is an exceptionally low score for you compared to your GPA and other demonstrators of academic ability.
Depending on your background and extracurriculars, it's possible but highly unlikely.
To keep this community safe and supportive:
No. Zero percent of admitted students in this last cycle scored below 1000. Only 1.13% scored between 1000-1199.