Yes. Blend shape plus a wrap deformer.

Expect to get distortion though. For proof look at any planar projections of the earth.

Also a sphere is going to be tricky because it wraps on itself. Hemispherical projections are easier. So it would be much easier to do this in two halves.

To do this in one piece, you'll need to start with the sphere and flatten it. Which means you'll most likely have to unwrap it as if you were making a planar projection. Then you can make a blend shape between the sphere and the flattened sphere, and finally you can use the flattened sphere with the attached blend shape node as a wrap deformer on your honey comb surface.

To work though the honey comb surface has to match the flattened sphere.

This is a variation on a theme I made a tutorial for here ...

howto create a wire grill pattern that conforms to a shape - YouTube

and here is a slightly refined version...

howto create a wire grill pattern that conforms to a shape part 2a - YouTube