I am 4'7 and I was born with scoliosis. Does having scoliosis have anything to do with me being short and having a short neck?

Possibly. There are some cases of scoliosis that are associated with other musculoskeletal disorders. Klippel-feil syndrome, for example, is a condition in which patients have a partially fused, short neck and 60percent of them also have an associated scoliosis. Consider being seen.
Can reduce height. Scoliosis can contribute to shorter height, depending on severity of curvature. With shortness sometimes bone dysplasia contributes. Have you been worked up for genetic cause?