Yes vaccines can occasionally give the person receiving them the disease. Usually the vaccine carries a dead or crippled form of what it is immunizing against. Occasionally this results in a person contracting the disease. The most common Meningitis vaccine contains N. meningitis (strains A, C, Y and W-135), C. diphtheria. This is rare and considered to be such a low risk that it is less dangerous to have the vaccine then to go without it. Besides the Pharmacological companies don't make money if you opt out of vaccines.