Yes, SCOTUS has repeatedly upheld binding arbitration clauses as valid, and that they even override state law and apply in cases of naked fraud by the company:
In a sense this is just codifying what has always been tacitly true - the court system isn't really intended to protect the common man against the economic, political and social elites, it's primary purpose is as a dispute resolution mechanism among those elites.
https://en.wikipedia.org/wiki/AT%26T_Mobility_LLC_v._Concepc... (binding arbitration overrides state law)
https://www.nytimes.com/2018/05/21/business/supreme-court-up... (binding arbitration overrides workers' rights)
https://www.washingtonpost.com/business/supreme-court-backs-... (binding aribtration applies even in cases of fraud and deceptive advertising)