Negative. The original P320 design is different that the current design in a few respects, the most significant being the original lacked a disconnector (which is why you could do the clicky dry fire thing with the originals). Sig also changed the mass of the slide, reduced the weight of parts in the "firing chain" particularly the striker and the trigger, and changed the design of the striker block and the sear springs.
I would suggest taking a look at this thread:
https://pistol-forum.com/showthread....oncerns/page12
pay particular attention to post 111 by lwt16
This thread is also useful: https://pistol-forum.com/showthread....l=1#post617443