Yes. In fact, anytime anyone ever suggests that someone else has a "responsibility" to do anything, they are ultimately claiming that that person does not have freedom over how they use their body or their time.

For any given issue, there is probably a "sweet spot" for how much freedom a person has over their body vs how everyone else needs them to use - or not use - their body. But finding that sweet spot always involves additional assumptions besides simply "my body; my choice", which we know is not feasible as a general rule.