As a very general rule, yes.
In reality? No.
Individual gun to gun variance is more apt to throw things off than the chambering.
Add to that, the ability of the shooter themself - most people can't shoot anywhere near to the mechanical ability of most guns (handguns).
But that goes back to point #1 - As a general rule - because the chamber is different, then the possibility of having it not as accurate goes up?
Confused?
Don't be. Do a good check-out of your purchase, regardless of caliber, to be sure things are nice and tight, then have at it.