Specifically for properties, they aren’t two properties simply picked out of the same pool: they are a each a single property that is drawn from their own pool. Sometimes those pools overlap, but there are certain things that only exist in one pool, one of which is "Damage reduction versus "
Both "DR vs. " exist in the same pool of property 1 but not in the pool of property 2, so it is not possible to draw many combinations because the second property, desired or no, doesn’t exist in the other properties pool of choices.
So, that’s the long winded answer of no, but you already knew that so I tried to extrapolate and explain why