That's not a difficult thing to imagine at all! Many mathematical problems have been unsolved in spite of a few thousands years of research! And math isn't nearly as weird as biological systems!
in a thousand years, of course, the things we're researching will be a thousand years differently evolved.
My point, mostly, is that any "law" of biology i've ever encountered has an "except sometimes when ..." clause. I do not expect that to change; biology is best described in the language of probability, and evolution (if i may anthropomorphize it so without peril) is very good at ruthlessly exploiting edge cases.
From where I sit, to think it's possible seems ... religous. To each his own I guess.