Sort of. Everyones bodies are different, but lets just assume your body burns 1500 calories a day just surviving, thats what it takes to keep your body temp up, and your organs working etc. And if your pretty sedentary, you might use another 500 calories to work your muscles, bringing your average calories per day at 2000.

If you keep the same amount of activity, and only ate 1000 calories a day, then yes, you would lose a pound every 3.5 days or approximinately 2 lbs a week.

But, your body really doesnt like starvation, and its going to make you feel like shit for a while. So typically what is "easier" for people is to exercise, which lets say means you now need 2500 calories a day, and you eat 2000 calories instead of 1000.

This way your still at a caloric deficit (500) and youll still lose about a pound of fat a week, you will lose weight, but you wont be starving all the time. Also you might have days where you work harder, and some days that are cheat days that you eat more, this is up to the persons preference.