Yes.

But not with the ammunition types you have used.

First of all, the accuracy/precision/repeatability standard I have used consistently throughout my life has been whether or not I could put at least 9 out of 10 rounds into the circular divot on the side of a gallon milk jug at 100 yards.

Second, I have used Federal 55 grain FMJ rounds in new Sport IIs and they have been able to achieve that standard.

Third, "standardized" rounds I created for use in my Mini-14 using Hornady 60 grain bullets on top of various powder loads (all selected to give a consistent point of aim/point of impact) also achieved the standard in the Sport II.

I don't think there's likely to be too much difference between a 60 grain and 62 grain bullet's trajectory at 100 yards, so I would say that my experience suggests that switching from 55 to 62 grain bullets - with appropriately proportioned powder charges - would have little variation between point of aim/point of impact.