Yes, It is Possible, you run elevator powered by solar panel, But here we have to need exect requirement to run elevator so we can set up solar system which is suitable for your requirement.
Here need high perform inverter with high KW High quality elevatorand Also require high quality battery where power can be load as per requirement, You can Use Sofar and Delta inverter for that, This both Brand Provide your high Quality and High Voltage Power Inverter with Warranty .
If there are any more question and confuse about this, You world brand elevatorcan contact to Lubi Solar (well known for Solar Panel, Pump and Inverter), who can give total solution.