As we always say, you can sue anyone for anything. That does not mean you have any chance of winning and all you may be doing is wasting your time and money. At worst, you may be liable for their attorney fees.
That said, you really have no case at all. The ads do not claim that this is a "real" credit score (which I assume you mean FICO). The SCORE is a credit score, so you lose pretty much out of the gate.
I loathe the ads and would never sign up with them, but those ads are legally deceptive, at least on their face.
This answer is for informational purposes only and is not legal advice regarding your question and does not establish an attorney-client relationship.