Don't wanna sound obnoxious in any way, but here i go.
In the current theories available, if they are at all accurate, then time travel is possible. There are, in accepted theories, more than three dimensions, one of which being time. Just setting some global understanding variables, moving along--
A common missconception is that everything in life, is one straight line. If you go 'back in time' and change something, well then everything in life will be changed. If i go back in time, and bludgeon my neighbors dad with a bat at his age of 3, then my neighbor will not exist, and I would have changed history. What is not too commonly considered, is what a ten dimensional theory explains regarding this.. This would create an entire new branch of time, with entire new set of chances or events. Every single moment in time, there is infinate choices for reality to take, relevent to everyone and everything everywhere, and this repeats every moment, ready to explode our time in another direction always. So if you go back in time, and 'change' something, this timeline will still carry on unaffected, while you are on a different timeline all together. Let me get more simplistic.
The first Three Dimensions:
Firstly, you have a length. A length, which may be quite obvious, defines the length of a given object.
Secondly, you have a width. This is what makes a 2D object a plane. Yes, annoying garbage you hear in geometry im sure.
When you add Depth, you now have a three dimensional object, such as ourselves. When you are 2D, you can only percieve the given two dimensions presented to you. A 3D Object may, unlike the 2D object, it may percieve 3 dimensions.
The following, in consideration of time travel
The next important dimension: Duration
Duration, is basically what we consider time. As mentioned earlier, Time is NOT a straight line, it is another dimension higher than the dimension we belong in. Like 2D objects could not properly percieve as observers the 3rd dimension, us 3 dimension creatures cannot percieve correctly as observers the 4th dimension, and so on. Thusly, we could not percieve time in it's pure form. Dimensions can be folded. Like you can fold a 3D object to manipulate its effects in a 2D enviornment, you can do the same with time. The issue, however, is that as 3D creatures, there are quite a lot of blindspots preventing this..
There are also interesting theories, such as Itzhak Bars' two time physics theories. These state that there is not one dimension of time, but infact, two. This is a theory I haven't the time to read up on, but hopefully it will prove to be an interesting read.
Google Itzhak Bars if you want more info on him or Two Time Physics since i have little to no info on that.
Google video, and youtube are very good sources to get documentaries on this information, ranging between 5 mintues and 3 hours each
There are also highly inspired acts such as the faint whose lyrics have creative and well thought out pieces such as:
Every time i move im in another dimension \ everything i do changes what i want
I see a choice I make explode in thousands of pieces \ Everytime I choose I become a shard
I can step outside, and walk in any direction \ Everything I chose erases ghosts of potential
But it makes new ghosts that i can fill \ i can only choose one as far as I can tell
And dr. steel, whom touches on different aspects on quantum physics
See you in the future! zooooooom