Halve the honeydew melon lengthwise and remove the seeds from the center.
Cut each melon half into 2 equal wedges, for 4 wedges total.
For each wedge, run a small knife between the flesh and rind to loosen the flesh. Cut the flesh into bite-sized pieces, keeping the pieces on the rind.
Season each slice of Parma ham with freshly ground black pepper.
Roll each slice of Parma ham loosely.
Serve the melon wedges alongside the rolled Parma ham.