Good to question on "come off with", does it mean this?

"Naturally weaning off sugar will provide many health benefits for the body. The American Diabetes Association cautions that type 2 diabetes is on the upswing in America, even among youngsters. A focus on natural foods such as grains, fruits and vegetables will help the body maintain health. Since high-sugar commercial foods can cause the blood sugar to spike, if you can wean yourself off sugar, you'll be improving your chances of a long, healthy life."