Go ahead. Hell even if they refuse your exemption declaration, still tell them no. Or just say no. Absolutely. Whatever you do, do NOT take these injections.
However I recommend attempting a religious exemption because there is actual teeth in your defense, legally.
I know I know, it should be enough that you have the right as per the international human rights acknowledged in the Nuremburg Code that you cannot be subjected to medical experimentation against your will but no court these days will take that seriously.