Could a slipped disc (herniated disk) make the body look deformed?

The term for this is: A sciatic shift when the body attempts to find a position that causes the disc to have less pressure on the neural elements. This looks like the pelvis and hips are shifted in one direction and the upper part of the body in the other direction. It can also look like a scoliosis labeled a functional scoliosis.

Not really: but if the pain is associated with movement, then your body may choose to move into a position of ease and that may make you feel deformed, but generally as the disc heals you will likely go back to being normal.