not if the amount of training data required to learn by example is exponential or even combinatorial. we might not even be in the same ballpark. all data ever recorded on digital media might not be enough to learn even a simple intelligence without assumptions about structure.
a kind of analogous problem is: can you learn how to build a living thing purely from digitally recorded DNA samples, if you don't have access to the internal structure of any living thing? How many dna samples would you need?