So is time travel even possible or is it just something that science fiction writers invented?

If you ask the scientists, it may indeed be theoretically possible. The problem is, there are different theories as to how it could be done.

Famous physicist Stephen Hawking has been speaking out on the subject recently, no longer afraid of being labelled a crank for his ideas on time travel. In this article, he looks at the idea of linking wormholes in space to travel to the past, but concludes that it is impossible to move backwards in time, but things by accelerating to a very fast speed we'd be able to travel to the future due to the effects of time dilation as you approach the speed of light. Unfortunately, it's a one-way trip.

While Hawking isn't sold on travelling through wormholes, others have not dismissed the idea entirely.

Another line of thinking is the quantum time machine. With such a device, you'd just change the variables in the mathematical equation defining time travel until one of them allowed it to be true. That sounds like a whole lot of theory. Don't ask anyone how that could actually be done.

This article goes explains the idea of quantum time travel in a little more detail, but it still sounds as improbable as journeying through worm holes or accelerating to the speed of light.

Let's just agree that the boffins believe that time travel is possible. It's just a long way from actually happening. For now the only way to travel into the future is to keep on doing what you're doing so that you will get there one minute at a time.