I don't know. But then again my understanding of Godel is very, very basic.
So I could be wrong. I'll make an attempt here.
If finding a complete and consistent set of axioms for all of mathematics is impossible this implies to me that the hard sciences, physics, chemistry, etc. are also limited by Godel's theorem given their reliance upon that same system of mathematics. If the hard sciences are limited by this then one can assume that we cannot have perfect knowledge if perfect is defined as a complete model of the universe that is absolutely true.
I don't know if a proper definition of perfect was ever established in reference to the OP but I cannot think of a better definition in relation to this thread. Of course, this is no reason for others to insert a God of the gaps explanation to fill in the incomplete knowledge.