Yes, but again "off" is more casual/colloquial (to me). It's the sort of thing I might say but probably wouldn't write. Google hits: "feed on honey": 38,700 "feed off honey": 6 I'd expect more hits for "on" than "off", but this huge disparity rather surprises me.
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RayH"off honey" is very odd sounding.It's interesting you should say that, Ray, and your view more closely matches the Google stats. To me,"feed off" sounds, well, as I say, casual -- even a bit sloppy, if you like -- but it's something that people definitely do say in my part of the world. I wonder if there might be regional differences here.