Arrange the cucumber slices on a large serving platter to serve as the ghost bodies, leaving space between each.
Slice each baby carrot lengthwise and gently carve or break the ends into a slightly pointed or frayed shape to resemble ghostly tails.
Place a baby carrot on top of each cucumber slice to form the tail of the ghost. Secure if needed with a small piece of cheese or a toothpick.
Cut small pieces of cheddar cheese into irregular shapes for the ghost faces, and tuck them onto the front of each cucumber to create a friendly face.
Use slices of black olives to make eyes and tiny mouths. Attach the olive slices onto the cheese with a tiny dab of cream cheese or just gently press them in place.
Arrange the celery sticks around the platter as additional spooky ghosts or as dipping sticks for vegetables.
Optionally, use small piping bags or plastic sandwich bags with a corner snipped off to pipe small dots of cheese for extra facial features or decoration.
Double-check that all the faces look cheerful and spooky enough for Halloween fun. Adjust as needed with extra cheese or olive pieces.
Serve the spooky ghost veggie platter immediately, or refrigerate briefly to keep the cheeses firm. Enjoy the playful, healthy centerpiece!