I've experimented with syphon irrigation in my kitchen garden. The garden is located very close to the back side of my pond dam, with ~8' of elevation difference between
the full pool mark and the garden bed, so ~4psi at best down there. Drip tape wants 10psi to work properly, and 10psi won't begin to run any kind of sprinkler system.
Whirlybird sprinklers are designed to operate in the 30-50psi range, and they work a lot better at 50psi than they do at 30psi.
In my estimation, you will need a sprinkler pump and a source of power for that pump if you want to irrigate the back side of your pond dam with pond water.
