Latinos and Asians do have institutional power. They use it all the time. Black people don't because Black people don't run institutions.
If you look into the politics of California or the shut out of Black folks in the Beauty Supply business or the installation of the Indian caste system in Silicon Valley and elite higher education, you see a group installing institutional power against another outsiders.
When Black people say that Black people can't be racist it is to remove the experience of prejudice, which is dislike, from material racist experiences such as Black folks being kicked out of labor unions or Jim Crow.
Being a racist is mostly a moral condemnational now that is used as gotcha or expressing an opposition to an opinion instead of analyzing laws, policies, relationships and institutions.
Black folks don't create broad institutional systems of oppression largely because we don't have a model for what that would even look like. We been on the bottom the whole time.