I am doing a kitchen remodel and I would like to wire a new single pole switch to an additional light. See the attached diagram (the new single pole switch is labelled 2 way). This is exactly what is going on in my kitchen. I would like to know if I can get supply power from the 3-way switch at the end of the current circuit. Thank You!
No, you cannot extend the circuit from that location. You could extend the circuit from the first switch location, or run additional wires to the second switch location.
The location you've highlight lacks a grounded (neutral) conductor, and an unswitched ungrounded (hot) conductor.