I would pay good money to see someone actually get close enough to a *wild* deer to even touch it. Even just the act of touching it would likely not work out well for you. Wild deer are SUPER skittish and *highly* reactionary. Good chance you get kicked. Deer hooves are NOT kind to frail human skin.
On a side note, reading this post title made me recall a video I saw somewhere a long while ago of 2 idiots, presumably 2 because someone had to do the filming, out in the woods attempting to do some next level shit. Specifically, hunting deer with a K-Bar or some other rambo knife, from a tree.
No secret how they got the deer close enough, as deer are primarily visual, and with enough olfactory camo and the right wind conditions getting the deer close enough is certainly possible and, in fact happens with tree stand hunters all the time.
Maybe he chose the buck because he didn't have a doe tag, or maybe it was the first deer to stumble into the area, no idea, but probably the later....
But, in the chaos that ensued as soon as the deer noticed him (hint, AS he was dropping, him touching that buck's back AT ALL was pure random luck) the idiot was extremely lucky to walk away alive. He got gored at least twice and kicked MULTIPLE times. In fact, all I really know is that said idiot was alive when the video stopped, no idea if he survived the event long term.
I do know I've never seen another attempt at such idiocy. Mankind, WITH tools, is an apex predator. Mankind without tools OR the correct tools, is just a statistic waiting to happen.