With biomedical and technological advancements, this scenario is highly likely. At some point in the future, I can envision almost a divergence in human species - those who age naturally and live similar to how we do today, and those who’s wealth has afforded them medical and technical enhancements prolonging their lives, enhancing their abilities, and allowing them to control vast amounts of resources. Perhaps they will at least keep us as beloved family pets.
The Netflix series Altered Carbon explores the idea of an immortal class. However, I can’t imagine that an advancement so compelling as immortality will not trickle down in some aspect. The majority of the developed world’s middle class benefits from initially complex and expensive technologies such as air travel, cancer treatment, and advanced computing — differences for the ultra-rich are marginal, not absolute.