There probably will be one or more stored codes, but a basic OBDII code reader won't likely read it for you when the light is off.
DTCs can be stored as Active, Pending, or History. Active DTCs indicate a fault has been detected and will turn the light on. Pending codes indicate a fault has been detected but will not turn the light on until the fault is detected a second time promoting the DTC to Active status. History codes indicate that a fault has been detected but that it's gone now (criteria for "gone" vary) and the PCM is storing the code number to help the technician find an intermittent fault.
OBD code readers will all read active codes. Many will also read pending codes. To get History codes that are left after the light turns off you'll likely need manufacturer specific software or a tool a bit more advanced than an auto parts store is likely to lend out.