Yes. A political orientation is about - to put it bluntly - which parts of reality you focus on and which parts of reality you ignore. So, suppose we have a group of people who are e.g. simultaneously victims of racism and of high crime in their neighborhood. A left-wing person would be happy to help them fight racism, but would feel uncomfortable hearing about crime perpertated by members of the same minority against their neighbors. A right-wing person would be happy to help them fight crime, but would feel uncomfortable discussing structural racism.
Sometimes the existing structures are oppressive and should be torn down. Sometimes they are necessary for survival. Quite often, they are both at the same time.