I wouldn't. Its going to be a double pressure spike (one for being BB hot loads, and one for being a tight chamber). It probably won't damage the gun but it will put extra wear and tear on it in a hurry. If the slide cant close the gun won't fire, so that's safe enough. Paras are pretty tough (some models are unreliable, but they are generally good steel). So what you are really talking about is that pressure spike beating the slide too hard as your most likely result.
I have a couple of euro 9mm that can't take some of the larger 9mm ammo, it bites into the rifling too early. I just shoot smaller bullets and its fine. I shot them where they were jacked into the rifling and they were fine too, but you get aggravations... stuck bullets like you experienced, and I pulled one bullet which dumped powder in the gun and made an awful mess. Its better to just get something that fits.