I don't think so -- some banks (or companies, financial inst.) only report to and query from one of them, some do both. You can check from the free reports -- the information from Equifax and TU are not identical -- and therefore the score wouldn't be the same. I'm not saying you need to have both scores -- they should be in the same range anyway, and having access to one of them is better than nothing.
But then what do I know? I'd refer anyone interested in learning more about credit score to the Thread: Ask me about Credit Scores.