Nope, just nope. You have to dedicate an upper to each caliber (you can't switch caliber/case between 357 Sig and 9mm on the same barrel).
You could maybe have a 9mm barrel chambered to 357, but there might be feeding issues you would have to deal with.
The barrel has to be chambered for .357 Sig.
The bolt face is the same as a 40 S&W. I suspect that a 40 bolt will work, but there may be some tuning issues (buffer/spring).
You will find that will have to find a magazine solution first. (Most likely a glock mag lower if you want to switch calibers).
To make a 9mm 357 SIg switch caliber you need:
Minimum - 1 glock lower with 9mm and 40 S&W mags (these are different). 2 different uppers, 2 different bolts, likely 2 different buffers/springs for best reliability.
I guess you could use a regular ar15 lower if you go with Olympics system of mags/uppers, but that's pretty pricey with the mag costs.