If your "LUCKY" enough to find a 940 or 940-1 cylinder it "Should" be fittable to the 640 No Dash as it has the "Short" cylinder, Non Magnum J Frame..
I scored a 940-1 cylinder from a forum member in a trade & fitted it to my 642 No Dash creating the fabled one off Model 942 9mm Airweight..
First the cylinder will have to "Time" Correctly & have the same "Endshake" which can be adjusted with Power Customs End Shake Shims or Yolk Stretch..
On my convertion I had to file the ratchet as the cylinder was new, I also had to fit the center pin of the cylinder as well as the ejector rod, My 940-1 cylinder had end shake in the 642 frame so I shimmed the 940-1 cylinder to fit the frame, I added 2 x .002" shims, If it would have been the other way I would have had to trim the yolk to fit the 940 cylinder & then shim the 642 cylinder..
Then you also have barrel/cylinder gap which on mine came out to .004"-.005"..
There were 640 No dashes with the "CEN" prefix that were marked in the frame window as to handle +P+ 38 Specials..
As far as if your 640s metal is up to the 9mm preasures, I'll only speculate as I know of another guy here Pred who put a 940 cylinder into a M60 & had the cylinder bored to 9x23 & had great success with it & was planning on doing another on a 649/638 Bodygaurd?
Each cylinder is different & if you luck out to finding a pre cut 940 cylinder & it fits your frame, You'll be lucky, Pred was.. He told me it timed perfectly..WOW!!
With the price of 38/357 it seems like a 9mm snub would be the ticket & maybe S&W will do something about it..
The 940s suffered from extraction problems mostly due to the 9mms tapered case & variouse ammo specs, Some will function & extract fine others well Don't..
Alot of early 940s cylinders are "ROUGH" as they must have had a problem with thier tappered reamer? & they have alot of problems extracting spent cases, Others are perfect & have No Troubles, I had my first 940s cylinder reamed to 38 Super & have had very little trouble with it "Except" for Winchester White Box Value Pack 9mm.
All others I have tried extract just fine with a small rap on the ejector rod..
I have a set of cylinder hones, Donated by the Forum BTW, that "CAN" cure some/most extraction problems due to a rough chamber.
You might be better off just trying to Buy a 940..
If your 640 is "MINTY" I'm not sure what I would do?? Hmmmm??
Good Luck with your Quest!!
Gary/Hk
Model 642 Airweight Converted to 9mm Via 940-1 Cylinder
Model 940 & Model 642/942 Airweight 9mm