Metal Spinning on Lathe

I’d like to make a small backing plate for a pump Im designing.

Its base material is 1mm thick stainless steel sheet that looks ideal to be metal spun into shape.

I’d make a mold of the inside of the piece first (likely out of aluminum so its easy to machine but doesn’t rust).

Has anyone any experience with metal spinning small pieces, any knowledge of whether we have the tools for it (shouldn’t take much more than a custom tool rest and a couple of rolling rods (apologies if I have the names of these tools wrong)

You could make a plug out of aluminum or wood is quite common and have a
back piece to sandwich the slug as well. People have used hard woods rods
to manipulate the material with wax as a lubricant.