Not really. Why would you want to?
I wear my orange vest over my coat. When I get a deer I lean my gun against the nearest tree, remove my orange vest, hang it on the barrel of my rifle, remove my coat and put the vest back on over my sweat shirt or vest. I then gut the deer, put my coat in my back pack, which has an orange panel on it, and drag the deer out without having my heavy coat on.
The point is you want to keep your required orange displayed at all times to be safe. I know of a case where a hunter was shot in mistake for a deer after he removed his orange to gut his deer. Though I remove mine from my coat long enough to put it back on over my shirt it is highly visible hanging on my rifle barrel for the short period of time it takes to make that transfer.