No, faculty are not responsible for taking separate notes for the student.
If a student has peer note-taking as an accommodation, it is likely that they will connect with a classmate in the course, or the student will use note taking software. This does not mean that the student does not have to take notes; the notes provided by a volunteer peer/student note-taker are supplemental only. Notes are only shared when the student is present in class; no notes should be shared if the student is absent.
If a peer note-taker is not immediately identified, Disability Services will typically ask the professor to make an announcement to the class (without including the name of the student who is need of notes) or help us identify a student who the professor recommends that we can reach out to individually. In addition, if the faculty has power-point presentations available to all students, this can assist the student if there is not a peer note-taker for the class. If a peer note-taker is still not found, Disability Services may offer the student an accommodation for recording lectures to give the student full access to the lecture material with the ability to complete the notes on their own outside of class.