Arrange baby carrots around the edge of a round platter.
Cut a few inches off the end of a cucumber, then slice that piece in half to create a pumpkin stem.
Slice the remaining cucumber into rounds. Cut three rounds into triangles for eyes and a nose.
Arrange cucumber rounds in a semicircle for the ghost's mouth, placing the triangles for the eyes and nose.
Slice mini sweet peppers in half, following their grooves to create ghost shapes, adjusting with a knife if needed.
Dip the back of candy eyes into dip or goat cheese, then place on the peppers for eyes. For a mouth, flip the eye backward.