Sorry, not a common 3 axis printer. As I think about it I realized that no printer may be able to rotate the head and print upside down for that purpose, though I suppose the table could be rotated instead.
So, yes, that looks like a problem for all the conventional techniques unless someone is making the super-duper version that can do that.
Here’s something I saw previously, Computed Axial Lithography. That would be able to print those kinds of shapes, and should only need support structures for shapes contained in other shapes, assuming the shapes could support themselves when completed.