Answer: Self-worth is something determined by someone's own mental health and restraint. Sometimes owning something does not define how you veiw yourself. For example if you owned a broken stuffed animal as a childhood toy, it wouldn't reflect your occupation as a billionare. It depends from people to people. Some want to by the things they deem worthy of themselves while others don't care. So no, your position is not concretely linked to what you own.
Explanation: Just my little answer. Everyone has their own. Have a nice day :)