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It is possible for the scores to be the same but very unlikely.
My EQ FICO is currently 680, and my USAA EQ FAKO is also currently 680. They are not always the same, and occasionally I notice a significant discrepancy, but more often than not, they are quite close to each other.
My USAA FAKO for EX is 690, 3 point difference.
My USAA FAKO for TU is 699, 3 point difference.
Some FAKOs are closer than others. My Credit Karma scores are aren't even reasonably close.
Even though some of them are sometimes close, the discrepancies make them inconsistent with the real FICO data needed to judge if you are in good shape for a lender's approval. I am not saying that FAKO scores are a substitute, just that my USAA FAKO (which I get because I use the CMS service) is often close. Of course, if you are going to pay for a product just for the score, you want something that has a higher percentage of reliability to be what the lender will see. There is only one score you can buy which has that kind of reliability right now: the EQ FICO from this site.