Yes, in fact, this is often the case. This overlap of rights comes with a few considerations and can sometimes lead to issues. When design protection is applied for, it is assumed that the copyright belongs to the applicant of the design. However, the original design is often not created by the applicant. For example, a freelancer may have been hired, or the idea may have come from a suggestion box.
Therefore, it is important to arrange in advance who will hold the rights if a design registration is also carried out.
