The Faulkes Telescope project offers educational access to 2-m telescopes in the Canary Islands and Hawaii.
Thanks to @PaulPrice for confirming my hazy recollection. I was observing at the Mt Stromlo 74 inch (1.9m) telescope in Canberra (long since incinerated in a bush fire) in the 1990s when there was a lunar eclipse. The observatory is at the top of a road that the public could access (Weston Creek Rd if memory serves). On that day (I think it was early in the morning) some folks drove up and asked if I could point the telescope at the moon. I did, and we watched it on a TV monitor and through an eyepiece situated at the Coude focus (with its walk-in spectrograph). Happy days.
You'll need a space telescope if you want to resolve Pluto as anything but a star, since its angular diameter is about 0.1 arcsec.
If you mean current, large professional telescopes (i.e. 2m+) that you can turn up and look through, the answer is no, not least because such telescopes don't have eyepieces.