Back in the 70's, I did that with the Speer .308 plinker bullet in a Remington 788 in 308. I can't remember what powder I used but I didn't do it long because of a number of safety concerns. With such a small powder charge, I had to use tissue or a light powder filler like cream of wheat to keep the powder at the base of the shell against the primer. You DO NOT want the charge to be in the front of the casing by the bullet at the time of ignition. That can cause all kinds of over pressure issues. Also, the strike of the firing pin drives the case forward but there is not enough energy to push the base of the case back against the bolt face causing the primer to back out of the pocket. This caused at the least, gas leakage and often the primer was pushed out of the pocket. This will cause erosion on your bolt face or if everything lines up just right, hot gas in you face. Ask me how I know about the gas in the face. It's not fun. The cases you use are now not good for regular use.

My suggestion is be safe and don't do it.