The other day I was watching this documentary on time travel and got really amazed on the focus of the documentary. It futures one American man who came forward with proves of time travel. This documentary was produced during the late 90's before Obama became the president of America. This man, the focal individual of the documentary had lost his dad just a few months before the documentary was shot. After the death of his dad, he decided to go through his late father's work materials which were packed in the basement of the house. He came across a box filled with materials related to his father's former place of work. Among the materials, he saw several pictures of his dad in places he didn't recognize. Among them was one particular picture capturing a group of people with planks protesting against a black president. He noticed it was in washington, but then, their president wasn't black and America has never had a black president before. Some years later, Obama came into power and the protest came to life just as in the picture he found years ago. It happened that his father during his life time worked for a government agency which he had very little knowledge of. If that wasn't time travel, then I have no idea what that picture was. This is just one instance on many other unanswered cases where time travel can be used to justify such situation.
During the JFK assassination, dozens of people were seen capturing images at the president's motor cade passing. One particular individual captured an image of a woman dressed completely different from that time. The cloths she had was from what we wear in modern times and it also showed her holding onto what looked a cellphone, things that weren't even invented yet during that time. Till date, no one knows who that woman was.
Drawing from the above which is are confirmed stories, i'll say that time travel is possible. Maybe it's already existing but we just don't know about it. Or maybe in the nearest future, It just might come to be a reality.