Not likely, it's not shaped right back there. When I had to tote my factory uppers with me and wanted them off, I slipped them into a two-sided pocket I made out of beach towels sewn together and threw them in the back. It was kind of like the factory freedom panel bag. You'll probably have to use something like that.
A society that puts equality before freedom will get neither. A society that puts freedom before equality will get a high degree of both.