Will my headphones get stolen?

for my trip to nyc, im buying headphones. i mean i need them overall but when i get these new ones ill bring them with me. as you may have seen in my last post, my mom likes to blow things out of the water. she swears she knows nyc up and down (we live in indiana, she just likes to go there). she keeps asking me if someone will just snatch them off my head or my neck. is this actually the case? like i’m aware about phones and wallets. i figured since it’ll be so cold out in january then ill have a coat or a hoodie or some sort. will they for real just get taken like that? i’m having my phone and wallet in zipper pockets in my coat

edit: i’m sorry for asking