It depends. Did you write a bug that caused the wrong drug to get ordered? Did you design or implement an algorithm that recommends drugs, and the algorithm was a bad one? Did you design or implement a confusing UI flow that led to the doctor ordering the wrong drug?

If so, I'd say yes, you share some of the responsibility. Legally, I'm sure you'd be fine, but if that were me, I'd feel responsible.

The doctor of course is responsible too; they're the one who didn't double-check that it was an appropriate drug. But multiple people can share responsibility for a bad thing.

Legally, probably not...?

Whether you may/should feel responsible depends on how the software works, I guess. Did it automatically recommend some drug, somewhat confidently, with gray text on gray background saying "AI sometimes makes mistakes"?

So I think we should behave responsibly when making software, even more now with AI