Will a car still run if you have bent piston rod?

No, a car will likely not run properly, or at all, with a bent piston rod. A bent connecting rod will prevent the piston from moving smoothly and efficiently within the cylinder. This will cause a significant loss of compression, leading to misfires, loss of power, and potentially severe engine damage if the car is driven. The engine will likely run very poorly, if at all, and continuing to operate it in this condition will almost certainly cause catastrophic failure.