Yes.
At least for me, when I focus on packing during a one armed press, my shoulders tend to be happier.
And maybe somebody who knows more about the nuances of barbell vs kettlebell training can chime in, but I would think shrugging at the top of a one armed kettlebell press would lead to more lateral flexion of the spine-which may be why we don't hear it recommended. Shrugging at the top of a barbell press would not do this, unless you do them one handed
I would still think that packing the shoulder at the beginning of a barbell press would be helpful for the reasons I have stated. But once the shoulders are reaching terminal range at the top of a barbell press, shrugging would be okay, since the head of the humerus has already rotated around into flexion in the glenoid. Plus, at that point the upper traps tend to activate more strongly anyway, and actively cuing a shrug would just aid in this upper trap activation. But, I speak merely from a textbook knowledge of biomechanics, not experience. It's been a long time since I've touched a barbell!
Just my thoughts anyway