Hi Don, it is possible to deform a flat shape onto a curved surface using the Transform > Deform > Flow command, there is some information on it in the help file here:
https://moi3d.com/4.0/docs/moi_command_reference8.htm#flow

However it's kind of difficult to deal with areas where things pinch down to a single point. The regular sphere surface that you draw from Draw solid > Sphere has "pole" areas where the sphere surface's control point net collapses down to a single point and that will cause the flow result to also pinch down there as well.

- Michael