Every pistol I've ever owned, except for one or two, were sufficiently accurate out to 25 yards (maximum distance at the range) to keep hits on a three-inch square. The caliber and size of the handgun made no difference. They were all capable of more accuracy than I was capable of holding off-hand. Naturally group size isn't all it takes. You have to keep the hits on the center of the target, so some sight adjustments might be called for.
To elaborate, some were easier to use than others (easier to make hits with, that is), but again, there was no real correlation between the size of the gun or the caliber and how hard it was to make the hits. Some pistols were difficult to get off a quick second shot with, but that's a different issue.
Of course, one person's "pocket pistol" is another person's service handgun.
Shoot low, sheriff. They're riding Shetlands!
Underneath the starry flag, civilize 'em with a Krag,
and return us to our own beloved homes!
Buy War Bonds.