Yes, if a new H-1B petition from another company is approved.
This answer is of a general nature and should not be relied upon as final, nor is it intended as legal advice. Consult with a qualified attorney before making any legal decisions. Gen Kimura, (832) 247-6932.
There is no problem working for multiple employers in H-1B status. However, each employer must file an independent H-1B petition for "concurrent" employment on behalf of the foreign-national.