No, but if say you wanted the dome to be in the middle of the waist of a P-Bass then you would turn a disk big enough to get the body shape out of it. If you wanted the dome to be in the middle of the fat bit, between pickup and bridge say, then you would be turning a dish as third as big again. Which in anyone's book is a huge throw for any lathe.
I concur with @honza992, it's a hellishly complicated first project, but as a concept I'd love to see it happen.