No. Laptop batteries fully charged are ~11 or ~14V. Power supplies feeding the laptop are 19V. For the 5V USB based charger to charge the higher voltage laptop battery, there would need to be step up voltage circuitry in the laptop USB circutry, which there is not. I suppose you could kludge something together like putting three of the external cell phone battery chargers together in series and attach it to the power connector on the laptop, but I would not recommend that.