Yes a FWd car can be drifted without the use of handbrake, enter a wide turn with the car sticking to the inner line, accelerate hard in the middle, balance the car by constantly by adjusting the steering(u wont need to counter-steer here) and by adjusting the gas pedal, but be care full not to gun it or u'll end up losing control. the easiet way to end the drift in the middle(incase a car is coming or u're near the railing or if ur dad sees you...lol) is to leave the gas pedal.
btw which car you hav?