Yes. Ive seen deer run thru head high laurel on a slope like that in the Berkshires......in 6” of snow, after being shot thru both lungs with a shotgun.
It took me nearly half hour to get up that slope to retrieve, hanging on to all sorts of shit so I wouldnt fall on my ass.
can't say that I have, but did watch a deer leap a 5 foot chain link fence without a running start. from a stand still, it just bounded over it. I understand that's normal for deer but still impressive.