I don't understand that sentiment ... Of course you can "manage" without JQuery. JQuery itself doesn't use JQuery (D'oh) and somehow it can do all these things, so it is possible. The point of JQuery is that I don't have to think about the various (slightly) incompatible implementations of <whatever> in each browser version, but can just use one lib call and be done with it.
JQuery to me is like using a car instead of running to another city. Yes, I could run, but why would I do that ..?