>>252
No. You would lack almost all physical understanding of what is happening. It would likely seem very poorly motivated too, if you didn't know where the idea of a symplectic manifold came from and why. I'm sure some people do study symplectic geometry without studying classical mechanics, but it seems pointless to me. And to actually replace a course on classical mechanics (the implication being that this is someone studying physics), I think would be a bad idea.