Yes, the same daughter products can be produced from different isotopes. For example, in the [SUP]40[/SUP]Ar/[SUP]39[/SUP]Ar dating method there are small, measurable and correctable interferences from Chlorine, Calcium and argon. For example:
[SUP]36[/SUP]Ar is produced from [SUP]40[/SUP]Ca and [SUP]36[/SUP]Cl
[SUP]37[/SUP]Ar is produced from [SUP]40[/SUP]Ca and [SUP]39[/SUP]K and [sup]37[/sup]Ar
[SUP]38[/SUP]Ar is produced from [SUP]42[/SUP]Ca, [SUP]39[/SUP]K, [SUP]41[/SUP]K, [sup]40[/sup]Ar and [SUP]38[/SUP]Cl
[SUP]39[/SUP]Ar is produced from [SUP]42[/SUP]Ca, [SUP]40[/SUP]K, [sup]38[/sup]Ar, [sup]40[/sup]Ar and [SUP]39[/SUP]K
[SUP]40[/SUP]Ar is produced from [SUP]43[/SUP]Ca, [SUP]40[/SUP]K, [SUP]41[/SUP]K and [SUP]44[/SUP]Ca
None of these cause a significant issue with regard to radiometric dating using the [SUP]40[/SUP]Ar/[SUP]39[/SUP]Ar system. I can almost guarantee that these are the reactions 'questioned' at the start of this thread since they occur during the irradiation process as neutrons interact with these isotopes and they (the discussions regarding these isotopes) have found their way into the creationist literature.