Yes, is it first or second class of impossible in Physics? I've forgot details, but remember that MIchio Kaku wrote about that in one of his books with an examples from Harry Potter series.
hypothetically we may see the past (travelling faster than light) but can we be physically the part of our past... can nature sustain co-existence (young me and old me in the same space and time)... can it violate conservation of mass and energy of the universe??
Travelling in time might sound like a flight of fancy, but some physicists think it might really be possible. BBC Horizon looked at some of the most promising ideas for turning this staple of science fiction into reality.
For the rest you may look at https://www.bbc.com/news/science-environment-44771942.
Travelling back to the past, described by SF texts or films, is highly improbable. Travelling forward into the future, however, happens all the time. We're constantly moving towards the future. Time travel as described in SF texts and films, relying on machinery, has not been taken seriously by any scientists yet (AFAIK). Theoretically, it's possible to advance far into the future, so states Einstein's relativity theory; we just do not have the technology. Anyway, well-written stories do offer much to think about and are terrific thought experiments as well as intellectual exercises.
Highly improbable but desirable in the minds of many. For me this would give me a chance to go back and verify every event recorded in history and to find out how many were false/exaggerated.
We don’t need to believe in it. We need to make it true as a lot of things that human create as internet, video and audio connection and etc. We cannot see the wi fi, the electricity an etc, but they exist and we use them everyday!