Technically speaking, no. However, since the famous 1954 case of Brown v. The Board of Education, it has been illegal for public schools to discriminate on the basis of race. It is also illegal for a public school district to be segregated as a result of intentional practices, such as drawing the schools’ boundaries around exclusively single race areas (this is known as de jury segregation).
If, however, a school is exclusively one race as a result of freely made housing decisions (de facto segregation), there is no violation of the Federal civil rights laws.
In higher education, it is unlawful for colleges and graduate schools to discriminate against minorities. For more information, see our section on Education.