It is possible, but I do not recommend it.
I tried that with 9mm largo "brass", before starline brass was available and rimless 38 super was out there. The cases were berdan primed, but the primer pocket was identical to small pistol. I bashed out the integral primer post and made a huge hole in the flash hole area, but it worked.
The usual mode of failure was a case body split with the bottom of the split washed out by powder gasses. Looking at the huge volume of washed out aluminum turning into Al2O3 in the process, I had second thoughts about using aluminum on a second reloading. The heat of formation of AL2O3 is like a cutting torch, with cutting grit sprayed through the gun at several thoughsand PSI.
That aluminum oxide iis an excellent abrasive, liberally sprayed throughout the gun with every case failure. It is going to stay there until the gun is disassembled and cleaned thoroughly.
There is going to be more aluminum washed out with increasing pressure. You may get away with with reloadign 45 acp for several reloads, but very few with high pressure rounds.