No, this will cause too much current to be pulled through the power adapter.
Either the power adapter is going to shut down , or the Adapter or charging circuitry in the laptop is going to fry.
Undervoltage power of 15v instead of 19v is not going to damage your laptop..And if it works than use it but the battery won't get enough charge .. Only worry if the device is overvoltaged i.e plugging in a 19v supply when it only asks for 15v !