Yes: The size and shape of your chest will control both pitch, and LOP. Shotguns are mounded on your shoulder in the pocket, and not out on the arm. How long or tall your neck is affects both drop at comb, and drop at heel, and will also affect LOP. The width of your face should be taken into consideration in deciding if you are going to have cast off put into the stock. A good stock maker will take those measurments, and ask you questions.
The best suggestion I can make to you is to try a lot of shotguns and find one that comes to your shoulder and eye easily, and then take those measurements. I found that most BP shotguns have much greater Drop at heel and drop at comb, than modern shotguns do. You can use a much shorter LOP when a stock has more drop. If the stock compensates for your barrel chest properly, the stock also does not have to be as long as modern straigher shotgun stocks tend to be. The reason is that you can mount the shotgun to your face and shoulder and be looking right down the barrel, instead of having to lean forward to compensate for less down pitch on your barrel chest, making your head " crawl the stock" by moving more forward. Its that stock crawling that is compensated for by making the LOP longer on modern guns. The other problem with longer, straight stocks( less drop at both comb and heel) is that it make them more difficult to get your face down on the stock so that you are looking at the front sight in a line with your eye that goes right down the barrel at the same level the entire length of the barrel. Older guns, with more drop in the stock, allow you to look down the barrel comfortably even if you have a full face, with your head and neck held straight up. That relieves stress on those muscles, and cramping, and allows your eyes to look through the center of your orbit, rather than out one corner or another, putting strain on some of the eye's muscles, too.
Find a stock maker who will look down the stock and barrel of an empty gun, of course, to see how the stock alignes with your face, and eye. I sent a woman who was very petite to a stocker who was experienced in fitting stocks, to shorten, and change the pitch of her gun. When she got the gun back, it natually points to her target, and she now rarely misses a bird. It has a new, thicker recoil pad for her, but the LOP is about 12 inches, and he added more down pitch, as most women also have barrel chests, as in how their ribcage is designed to support their breasts. For men who are tall and very skinny, and thin in build, down pitch can be fairly short, or straight. They don't need much, and usually find that factory stocks fit them well.
I hope that helps.