Ultimately, it's your energy balance that will determine whether you lose weight or gain it. In other words, if you ate 2,500 calories in one meal a day, and expended 3,000 calories a day, you would lose about a pound a week.
Yes, spreading your meals out makes a difference in your metabolism, and there are some studies that show that it wards of catabolism, but we shouldn't overplay the role of this, either. In other words, it will have a small overall effect on the total number of calories consumed.
It's somewhat like the "thermal effect of food." There are some foods, eg celery, that take as many calories to digest as they have. The thermal effect of that food is such that celery is practically a "free food." But in the real world, you can't sustain yourself on celery.
So will not having breakfast make a gigantic difference to your energy balance? No, not in itself.
But it may have a bid effect on your overall success. Why? Because as others have pointed out here, you are prolonging your fasted state by another 4 or 5 hours. This means that if you are in a caloric deficit, your metabolism is that much more likely to use your lean body mass as fuel, since there's nothing in the "furnace."
Also, you may find yourself eating less overall as you spread your meals out. Eating a good breakfast and a morning snack may leave you partially satiated for lunch, so that instead of having a 1,200 calorie lunch, you are completely satisfied with a 600 calorie lunch.
