If it is a LUN, I could create a new LUN in the new SVM and possibly use the HOST to replicate and then detach the old LUN.
I suspect they may be some external products that could make this happen, but not directly from ONTAP. a Volume is tied to only ONE SVM. Changing SVMs will change certain details about the volume and will ultimately cause a break in any connected clients. Additionaly, the chance is fairly high that the IP addresses will also change.