Is there anything to suggest that certain allergies go with certain abilities? Like the legendary cold iron vulnerability of varieties of fae?
Well, yes, kind of. All Infected seem to be allergic to Sunlight, and quite a few of them have secondary allergies as well. Elemental spirits are allergic to opposing elements. Shapeshifters are almost universally allergic to Silver.
As for normal metahumans; no, not really.