There are no Greek poets from Sicily in the Byzantine era (unless there are some odd edge-cases that I'm unaware of), but there were several Greeks from earlier times. Wikipedia gives an adequate list (though be warned: some of those came from Greek parts of southern Italy, not from Sicily).

Of the Sicilian ones listed there, Theocritus and Moschus are the most famous, and should be available in some form or other in a decent library. You can also find very antiquated translations online, full of "thee" and "thou", if you like that kind of thing.

I hope that answers your question, but do please explain if there's been a miscommunication.