@DBActiveIt's usually impossible to prove a negative, so I'll grant that it may be possible, though unlikely.
However:
1) The system is open source, as is the mathematics.
2) A very high number of highly qualified cryptographers have looked at the system.
3) There is a very, very high financial value associated with 'scamming the system'. A successful 'scam' of Bitcoin could easily be worth billions.
Given that, the odds of there being a latent scam seem extremely low. Not zero, perhaps, but extremely low.
By contrast, there are far more (and far more obvious) ways of scamming the existing non-crypo commerce system.
None of that says that crypto is 'a good thing' or you should bet your house on it, but as a mathematical transaction system I would be inclined to bet on its security.
The major exception is that quantum computing may, when commercially viable, destroy a number of assumptions on which most deployed mathematical security systems are based. Indeed, governments are starting to both 1) store massive volumes of encrypted communications and 2) seriously look at moving to new algorithms on the assumption that at some point in the not-that-distant future nearly everything encrypted by currently secure algorithms will be trivially decodable at very low cost.