Whether you are white, black or brown, the Gospel tells us we are all sinners in need of a savior.  So of course an individual black or brown person may be as prejudiced as any white individual.
In addition, anyone can be discriminated against for any number of reasons. Some people are discriminated against because of their poverty, gender or sexual orientation. Others are treated as less than equal because of a physical or mental disability. Still others are discriminated against because of their body shape, age, religion or nationality. The idea of “white privilege” doesn’t mean that white people never experience discrimination, only that they never experience the effects of systemic discrimination based on their whiteness (although they may experience individual acts of race-based prejudice). Something like poverty is devastating no matter who you are, but living in poverty while also facing systemic racism is a unique type of suffering that white people simply do not have to deal with.
The unjust use of force by police officers against any ethnicity is tragic, but police brutality against black men is disproportionately high, but the killing of black men also fits an ugly historical pattern of white authorities treating blacks as less-than-equal. Black lives and black bodies have been dehumanized and brutalized since the founding of America, and police violence is just a symptom of that larger problem.