No, as of 2014, the Chilean sea bass is not officially an endangered species. However, the Chilean sea bass is classified by most regulatory agencies as being "over-fished."
Over-fishing is the act of taking wildlife from the ocean at rates too high for a species to maintain population size. Factors that make the Chilean sea bass at risk for becoming over-fished include slow maturity rates and spawning in groups, and making illegal catches easy. Fishing for Chilean sea bass is approved in some areas and illegal in others. Sea bass from the Crozet Islands, Prince Edward and Marion Islands, and Chile should all be avoided because of known poor fishing management.