Combine two L78L05 voltage regulator to double voltage output
No, not directly like in your picture.
First of all the bypass capacitors are missing.
Second problem is the quiescent current of the top 7805 that flows out of the GND pin, which the output stage of the bottom 7805 output cannot sink in, as it is only meant to source out current.
This can be fixed by putting an extra load resistor from the top 7805 GND pin to ground, and sizing it so that the quiescent current can't raise the GND pin voltage near 5V, so that extra current out from the bottom 7805 output is always needed to lift the voltage over the resistor to 5V.
If for example the quiescent current is about 7mA, maybe a resistor that is about in the range of 220 to 470 ohms could be low enough.