If by discover, you mean "touch" or "see" everything in the universe, that is not possible. Just can't happen. If you are asking if we have the capacity to understand the natural laws of the universe, that is possible.
Well Mathgeekjoe, I qualify that one too. We are very comfortable with laws of nature that remain constant. Nature is mathematically constant. I am not entirely sure, even if we were capable of understanding the entirety of the current construct, that we could understand the why it IS so constant. There really is no good reason for things to remain like this, they just do.