Of course there are, because there are infinite forms of data. And to say that there is always one best way to interpret data, well, I don't even know where to begin with such a naive declaration.
Philosophically, there is only one best way to interpret data - if you know the underlying causes then that provides the only explanatory power you need. A similar argument could be made to our understanding of multiple physical phenoma prior to Newton deriving His equations - your statement is equivalent to saying that there are multiple valid interpretations of how the planets revolve around the sun and apples fall from trees.
The data we care about are not the direct result of physical laws, they are the result of chaotic systems both natural (eg. weather) and human (eg. stock markets).
For your tortured analogy to bear any fruit you have to assume that we're just waiting to find a dead simple set of equations that explains all human endeavor, and after that finite memory and computation power won't be an issue because, hey, cause and effect.