MDMA does not make you trip, in the way that classical psychedelics take you on a journey... but it can most definitely induce hallucinations, especially in higher doses. Some people are more susceptible to this than others, personally in my MDMA using days I always hallucinated hard at some point, but then my doses were pretty excessive in retrospect.
There is definitely something different and uniquely otherworldly about MDxx hallucinations, they are a markedly different character to LSD, for example. Sometimes, especially on comedowns from very heavy sessions, I'd experience intermittent full blown hallucinations where it was like the world I was looking at would completely change until I snapped myself out of it... the way I used to like to describe it was imagine if the world was like a cartoon, with thick, clearly defined lines around individual objects... then a deep MDxx full blown open eye hallucination would be like someone had erased all the lines separating objects from each other, and redrawn them, so that the same view you were seeing a moment ago was suddenly something completely different.