No, at least not to the specific questions that were asked - to travel within our solar system or to nearby star systems (which, let's go ahead and assume just means star systems that we could reach within a human lifetime, presuming that Breakthrough Starshot works).
The galaxy is warped in the sense that some stars have large orbital inclinations source based on images found there. This would have major implications in terms of required plane change maneuvers to reach those stars...but you'd also have to have a spacecraft that is capable of travelling that far in the first place. Plane change manuevers require tremendous energy compared to basic orbital transfers, but one would still have to imagine that we wouldn't do a Hohmann Transfer orbit to a star far enough away to require such a substantial plane change. So...I'm sticking with "no" even though technically "yes" if you are thinking about strict delta V.