It can if it isn't delivering enough fuel to the engine. More than likely you need to have your timing checked.
There are many things that could cause hesitation on acceleration in a vehicle. It could be the fuel pump, the gas pump, fuel pump relay, or an electrical problem.
A bad o2 sensor can cause this problem in a car. A bad fuel pump, fuel filter or fuel line will also cause hesitation during acceleration.
Weak fuel pump
There could be a few causes for a car to spit and sputter on acceleration. One common cause would be the engine not getting enough fuel, so it could be a problem in the fuel line, fuel filter, or fuel pump.
Fouled, damaged injectors or incorrect timing on fuel injector pump
A failed fuel pump can cause gasoline to get into the oil.A failed fuel pump can cause gasoline to get into the oil.
A bad fuel pump will cause the fuel not to flow into the fuel pump. Another cause can be a leak in the fuel line.
Fuel pump could be possibly getting weak. Happened to my blazer.
Possibly, yes. If the injection system is not providing a steady and regular supply of fuel to the engine, shuddering and hesitation could result. Note that the fuel pump is part of the fuel system, and can cause similar symptoms if it's failing.
A plugged fuel filter can cause the pump to fail prematurely due to it having to work harder to pump the fuel through.
Could be, A plugged fuel filter, A damaged/plugged catalytic converter, Fuel pump failure,
A fuel pump relay switch can cause your car to stall after starting. A malfunctioning fuel pump relay switch can cause your car to not start at all.