Time travel cannot exist because there is no time. Time is merely something humans use to record their daily or yearly habits. The whole origin behind time is the rising and setting sun. Years are marked by seasons, which are simply a result of the Earth's revolutions. Even the simple act of human aging is caused (in theory) by DNA damage.
Now go into deep space without a clock. Without a modern timekeeper, or a sunrise/sunset, the only thing you have left to keep time is your own body telling you how tired you are or how hungry/thirsty you are.
Now go into deep space without a clock. Without a modern timekeeper, or a sunrise/sunset, the only thing you have left to keep time is your own body telling you how tired you are or how hungry/thirsty you are.