No, time travel and traveling to a parallel universe are not the same thing, although they are often portrayed together in science fiction.
Time travel refers to the concept of moving between different points in time, either backward or forward. It involves traversing the timeline of a single universe, where events occur sequentially. Time travel can take various forms, such as traveling to the past or future within one's own timeline or encountering alternate versions of oneself in different time periods.
On the other hand, traveling to a parallel universe, also known as a parallel reality or alternate reality, involves visiting or accessing a different reality that exists alongside our own. In this case, the concept of time may or may not be the same as in our universe. Parallel universes are hypothetical or speculative constructs, often explored in science fiction, where each universe may have its own unique set of physical laws, history, and even different versions of individuals or events.
While some science fiction narratives may combine the ideas of time travel and parallel universes, they are distinct concepts. Time travel focuses on manipulating temporal sequences within a single universe, while traveling to a parallel universe involves accessing an entirely separate reality.