Cut hole while extruding

Can I cut a hole while extruding?
I mean, insert a small distance on a Cube extrude that face inside and make a through and through hole.

No, that will not cut a hole in the opposite side of the cube, it would just clip through.

There are other workarounds, of course, but to answer your question: No.

ok
is there any other option instead of Boolean. in 3ds max Shift+Extrude inside will cut the surface, I am trying the same in Blender

Hi
I found an Addon Construction line, with which I could “extrude boolean” the face selected. The only issue the actions are very quick to control