You do realize, don't you, that US government has seen fit to allow our bodies to be deliberately exposed to a whole list of chemicals, such as antioxidants, fluoride, Humectants, Orthophenyl phenol, Acetylated distarch phosphate, Formaldehyde, Sodium ethyl para-hydroxybenzoate, Acesulfame potassium, Dehydroacetic acid, Ammonium hydroxide, Hydroxypropyl cellulose, Magnesium stearate, Polyvinylpolypyrrolidone, etc, etc.
And all states require various immunizations for children before allowed to enter school, such those against Hepatitis B, DTaP/Td/Tdap, Polio, MMR, and Varicella
So much for any "bodily autonomy."
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So byproducts of industry and agriculture, which we immediately have no tolerance for if it's without voter driven checks and medical checks. Sounds more like an argument against allowing unsafe byproducts than allowing for unrelated unnecessary mandatory medical treatment work (which is what body autonomy is really about.)
Vaccines aren't unnecessary, and are in fact essential for not just the person involved's heath, but the people they expose to should the vaccine fail, they have an allergic reaction, or have contact with someone too young for vaccines. So it's a matter of directly putting other people in harm's way which is not true of all or even most teen pregnancies.
And parents can still choose to homeschool or private school if they're still really opposed.