Yes you can
While it is true that primers are designed to go off by denting the back of the cup and pinching the priming compound between the anvil and the cup, you can perform that same pinch by punching the anvil from the front.
Seating the primer actually stresses the priming compound, too, by squeezing the anvil into the cup. Look at a primer from the side. Measure its height and measure the depth of the primer cup.
Yes you can safely deprime a cartridge with a live primer. Wear gloves, eye protection (full face shield is best) and long sleeves and maybe ear protection as well. Armored like that, you are pretty darned safe.
I have done several and never had one pop, but have testimony of those who have (and sometimes they do pop, so the protection is a good idea). The most important thing is to go slowly. Primers are intended to go off when struck hard and fast.
I have also crushed primers into the primer cup sideways and folded them in half. I have never had one go off (outside the chamber of my guns).
I suggest you take a primed empty case, chamber it and fire it off so you know how load it is and how much energy the release. Don't point it at anything within a foot or two. It will leave a mark (scorch or powder, I am not sure, but it won't wash out.)
Lost Sheep