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.