Jim Thompson wrote:

I'm looking for a Plier much like an olive or cherry pitter, but with
a larger diameter push-rod and a back-side hole diameter of 1" to
1-1/8"

Does such a thing exist?

Haven't seen one. Im thinking that the force required to push a 1"
diameter punch or whatever through most materials would render a plier
configuration less than optimal.

I Googled lever press and this popped to the top of the list:

http://www.janesvilletool.com/mpdt6000.htm

For a 1" hole, I think this is more or less what will be available.
Punches and dies sold separately, of course.

--
Paul Hovnanian
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Human beings were created by water to transport it uphill.