Yes
This is the suggested wiring for using a Mega as a ISP programmer… although it’s for a Uno, same principle applies, and you can read between the lines as to which pins on the target match the 644
The Arduino MEGA above is programming an Arduino UNO connecting D51-D11, D50-D12, D52-D13, GND-GND, 5V-5V and D10 to RESET. This type of board needs a 10µF electrolytic capacitor connected to RESET and GND with the positive (long leg) connected to RESET. The capacitor has to be placed after the programmer board has been loaded with the ISP sketch.
The 10µF electrolytic capacitor connected to RESET and GND of the programming board is needed only for the boards that have an interface between the microcontroller and the computer’s USB, like Mega, Uno, Mini, Nano. Boards like Leonardo, Esplora and Micro, with the USB directly managed by the microcontroller, don’t need the capacitor.
Basically, if you don’t put it on the Mega after loading the ArduinoISP sketch, your Mega will reset instead of the target board, which isn’t very helpful! Or at least, that’s what I think it prevents!
Looks like the 644 RST should be connected to D10 on the Mega, not SS…