They are the "Department of Statistics" of Catalonia, and they are controlled by the local government (pro-independence), so i am not sure why would they be biased to report lower support than the actual one. Our Constitution does not consider secession of part of a territory. To hold a referendum, they will have to change the constitution first, which is unlikely to happen in the short term.
Also, I am not sure that a referèndum is the best way to settle this conflict. I think that other options that can gather the support of more than 50% of the population would offer a better solution. (i.e., how do you build a new country when half of the population feels strongly about it?)