Were unions powerful, well organized, & willing to practice massive secondary boycotts, wildcats, etc., worker delegations could do the inspection work. Otherwise, no. Unions that don't even have enough power to compel the OSHA to do frequent & unannounced inspections on behalf of workers, not capitalists, can't be expected to protect worker safety on their own.
You need _power_ to compel capitalists to respect workers' need for safe workplaces.
Yoshie