Ah yes, I have some of those.
All my buns don't like to be picked up. I can pet them just fine, as long as I don't pick them up. Well, Freckle isn't to bad about it. Until recently, Popcorn didn't want me touching her, but now is much better
Then I have 2 (out of 6) goats that dont' like to be touched. They like to come up to me, as long as I don't touch them... but my young one let me the other day, I haven't had him long, so I"m hopefull he'll come around.
Then I have some horses like that. I have one mini mare, Sage, whom I coudln't touch when I first got her. After months of gaining her trust, now I can, but strangers can't. Ruby, another mini mare, prefers to be left alone, but she's not hard to catch and is fine with anything you do with her. A full size mare, Riddle, is the same way, but is hard to catch. Then my mini donkey jenny, Karma, is pretty much untouchable. But very curiuos and likes cookies, and again, haven't had her long, so hopeful she'll also come around.
One of my cats, Q, only wants to be messed with when she's in the mood, which isn't very often. She just has better things to do, I guess!
1 of my leopard geckos HISSES if I try to touch him/her! I ddin't know they do that! lol
Jessi