Read it, and I think you missed the irony that the right of "physical integrity" could also be, and is more likely to be, the right to not have the government control your body, such as forcing people to take a vaccination. If you believe that the right to physical integrity in the German constitution is to make it your right to not get sick, how much more is it the right of others to not have you make medical decisions for them?
Wikipedia says there are cases pending in German supreme court regarding a recent measles vaccination mandate; the court has so far refused to issue a preliminary injunction against the mandate and left the question open for decision in the main trial (see paragraph 18).
May I recommend you read article 2(2) of the German constitution at your convenience.