I don't think so.
1. Most people measure their hair using the longest point, and that point is usually at the back of the head. Not at the front or the side. Pulling that back of the head piece of hair to the front uses up length, and you'll probably end up with a shorter measurement than what you're supposed to have. It's more accurate to let it hang/stretch it down the back than around the shoulder, especially once you pass APL.
2. From the back, the contours of the body tend to be more visible. You can more easily define where the armpits, shoulder blades, and waist are, because the back tends to be flatter.
3. Often times, the boobies will trip you up. Depending on the size and shape, getting the hair to go over or around them uses up length and you probably will get a shorter measurement than what's actually there. Which is why you have some women who can cover their boobs with their hair at BSL, and others who won't be able to until HL.
Some people do measure from the front, but it's my personal opinion that it's best to measure from the back.