Time travel is impossible, if for no other reason than everything in the universe is MOVING.
Let’s say that you actually have a working ‘Time Machine’.
You step in, turn it on and go back or forward in time to some point.
You exit the time machine and find that you are in empty space, far from the earth or even the solar system or possibly the entire galaxy. You immediately die from lack of oxygen and freeze solid as rock within a few minutes.
Because the earth and the sun and the solar system and the galaxy are moving constantly, but you did not, you just traversed TIME and not SPACE.....................
Aha!
But I went to the 9th Circuit Court and they just overturned all the laws of physics.
Just you try and get around those black robed magicians.
And that's why you need the "And Relative Dimension In Space" part of the TARDIS.