It can. Severe shoulder pain is a common symptom seen in cervical disc herniations. There can be further radiation of pain down the arm as well.
Yes. This can be a part of the presentation of a cervical disc herniation with or without neck pain as well as with or without arm pain or neurologic symptoms or findings with pain over the shoulder or along the inner border of the scapula or shoulderblade being a common site for pain due to a disc herniation.