The sheer mass of the pivot pin, hammer nose and pivot block make me say no, at first. Laminates stacked in such a manner would require very precise alignment and careful fitting of the pins and all screws...drilling and tapping laminated plates could be an issue as well. But, if you really want a rolling block, cold roll is sufficiently strong for rimfire rounds, so long as you have a quality steel barrel. If you are patient, and careful, the rolling block can be built from a single block of cold roll using files, a drill press, hand taps, and a hand drill and / or a dremel type tool. Sight installation will be the only hangup. If you can heat treat properly, A-2 would be an excellent alloy for the low pressure rimfire, and likely black powder handgun rounds (44-40, 45 Colt, .38 special, .32 S&W, etc). With the multi plate method you are asking, keep it to two or three plates, and file fit...just have one side plate and a main plate where the main plate is thicker at the barrel threads so that you are only threading one piece of steel, then the side plate bolts into place then you can fit the hammer, rolling block, and extractor. After that make and fit your springs, next the trigger and sear are fabricated and fitted, finally bore and thread for the barrel...
Unless you are doing a class project, or just want to build your own action it is much easier to buy an action and fit the stocks and barrel of your choice