Humans do have dominance hierarchies.
Us humans have complex and multi-layered dominance hierarchies.
These complex and multi-layered dominance hierarchies that humans have are common among social species to be able to manage access to resources, allow for mating opportunities and even social order.
Although rooted in evolutionary, strength based alpha dynamics, human hierarchies often also blend with prestige based structures, like respect and competence and can be influenced by things like social context, gender and culture.
Us humans, just like bonobos and chimpanzees inherit a propensity for dominance, which was what historically determined access to food and mates.
Us humans also have 2 main paths to high status, which are dominance and prestige.
Dominance is coercive and fear based.
And prestige is voluntary and competence based.
And while it's often hierarchical, human societies also exhibit strong egalitarian tendencies.
And modern structures also include professional hierarchies, like universities and firms and social status that is based on intelligence, skill and wealth.
Dominance is also often signaled through the use of behaviors like pride displays, while the submissive and lower status behavior is often shown through reduced social standing or posture.
And high ranking people, often enjoy better access to resources as well as reproductive opportunities, and lower ranking people, may face more stress as well as lower access, although this is also moderated by the societal structure.
And some research also argues that human history was largely egalitarian for thousands of years, but modern, complex societies also frequently default to, or require, hierarchical structures to function properly.