Its possible. If youre not eating enough, your body sort of panics and goes into whats known as starvation mode, slowing down your metabolism and fat-burning processes. If its being starved of calories, it has to hold onto all of the energy stores and calories that it can. Think of your body as a furnace. If theres not enough fuel, the fire just simmers for a long time without really burning hot. If youre not eating enough calories to match your activity level, your body just simmers and no real progress is being made. The danger is that people react to this type of plateau by eating even less, which of course just makes the problem worse and harder to recover from. Its a horrible cycle that can lead to real problems.
I got this from an article on line hope it helps!! ((hugs))

absolutely! you need to take in calories to burn calories. but it needs to be the right kind with the right kind of nutritional value. if your body doesnt get enough calories it kind of shuts down. and way to go with exercise. it's so important. im with you about the no time thing. but think of it like showering and brushing your teeth everyday. you've just got to fit it in. your body will be well compensated for all the time you invest taking care of it. even if you don't want/need to lose a pound, exercise is important for EVERY body function. it's also a great motivation to see the changes in how you body looks and what it can do. good luck!