Time Travel may not work as Teleportation, i.e., existence of the being from one space time would get delete and he/she would then re-appear with the exact same configuration in a different space and time, however, it may seem as teleportation for a stationary being.
My perspective towards time travelling, actually, space-time travelling is that, to ever do time travel or travel 4 dimensionally, we need to be in the 5th dimension. And in the 5th dimension, we would see the whole worldline of us, and other individuals as well. Notice, that here in the 5th dimension, we would not be in our physical form, i.e., not in our 3 dimensional form, we would be in a higher dimensional form of human body, which allow us to perceive each and every instant/moment of time.
In the 5th dimension, one would perceive infinite versions of him/herself from the past and maybe from the future as well. However, to change an event at the past, we would have to come to a lower dimension, we need to go to the 4th dimension (our previous dimension) from the 5th dimension, where we would travel 3 dimensionally. And that would not be possible for an individual. Just like, we cannot go to the 3rd dimension, where we would travel 2 dimensionally.
Even, if one did that, and tried changing the past, things would happen in certain order that would eventually be leading to the exact same future from which the traveler had come.
NO PARADOX AT ALL. TIME WOULD REMAIN CONSTRAINED FOREVER.
That's my perspective towards time travelling.