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Hello there ! Thats an interesting question. Generally chargepumps are used to set reference voltages or used as level shifters and they are not used drive loads and hence it is not use case of charge pump to be used as current drive. As you keep drawing current from the load capacitor, the source(in our case SIO) should be capable of charging the capacitor back to maintian your required voltage. You could approximate the current capability of the charge pump built on the SIO to be about 12mA, since the current source(actual SIO pin) is now available for only half the time. Actually its even lesser than 12mA.
Fret not !!! If you need additional current, you can connect more number of Pins in paralle.