technically it is possible to have a subd that has this typology
and this offers a super lazy workflow:
(a claim a copyright “lazy n-gon sculpting” ;-D)
(left to right, front to back)
draw your subd in ngon-style with a minimum of n-gons.
use gumball-Extrude as shown in the video but on SubD.
subdivide once (all n-gons are resolved )
(EDIT: that means you have quads only as @martinsiegrist pointed out below)
fix a minimum of faces (green)
result
if we talk about how to get SubD typology fast - i started another topic regarding 3dFace command here. have a look please.