No, this is not possible. A CPU is the most integral part of the computer and thus without this, the system will not even boot. Just like if the brain is removed from a body, the body will not work, the same logic applies to a computer system. Since none of the functions that a computer can perform will be possible to execute without a CPU, the most that someone can get if they do not use a CPU is their system light turning on. The motherboard needs to be activated for the system to function, and for the motherboard to be activated, the CPU needs to be active too.