Can You Publicly Undress With Modesty?

Geometry Level 3

This video shows a person taking off a zipped vest without taking off an unzipped jacket. She firstly loops her left hand through the vest sleeve pocket, secondly pulls the vest over her head, and finally threads the vest out through the right jacket sleeve. Note that the second step is possible because her jacket was unzipped.

Could she do this if the jacket was zipped?