Can a faulty starter motor stop the car

And stop it from cranking over even though the ignition lights come on? My car cut out but the lights on the dash come on but it won't crank over or even attempt to, I've checked all fuses and all ok, there's plenty of life in the battery and the engine turns when trying to bump it. I've left the ignition on and tried crossing the wires on the starter motor. It sparks and still won't turn over or crank even. Is there anything else I can try or does it seem like the starter motor?