Yes, they can do that. However, they have to be very, very careful, because of this: '[U]niversities may not simply establish through application essays or othe

Yes, they can do that. However, they have to be very, very careful, because of this: '[U]niversities may not simply establish through application essays or other means the regime we hold unlawful today. ...“[W]hat cannot be done directly cannot be done indirectly. The Constitution deals with substance, not shadows,” and the prohibition against racial discrimination is “levelled at the thing, not the name' (pp39-40 of https://www.supremecourt.gov/opinions/22pdf/20-1199_hgdj.pdf https://www.supremecourt.gov/opinions/22pdf/20-1199_hgdj.pdf)