You can harvest ivory without killing elephant.
However, a tusk-less elephant is a severely disabled elephant. You may not have shot it dead on the spot, but someone who de-tusks an elephant for the ivory has very likely killed it anyway.
Since and elephant would never forget losing its tusks (pun intended), and they learn from each other, I speculate that it would get harder to do this over time. ...Not to say that we couldn't, I mean, we have technology--they don't.