No, they were on opposing sides of reasoning.
In Plessy v. Ferguson, the Supreme Court ruled that facilities that were "separate but equal" were permissible under the US Constitution.
This allowed the Jim Crow laws to develop wherein African Americans went to different schools, ate at different restaurants or in different sections, and were generally segregated from the population
The "Supreme Law of the Land" in the United States is the Constitution. This is also referred as the "Supreme Clause".