Hmm, yes, the quadram needs 5v to work, so maybe not a good option. Underpowering it won't damage anything, it just won't work.
However, 3.3V versions of the chip are also available
so the Rugged Circuits folks could change the address latch to a 3.3V part and have a Due compatible board.
Whether the part fits neatly into the Due address space is different matter. If the sketch is directly controlling the memory addressing as I outlined above, I don't think it matters.