Is time travel possible? The answer is yes and no
A point in time from the past, no longer exists. A point in time to the future does not yet exist. We know that a Time Machine has not yet been built for Human travel as we are in the present moment, and no individual has concluded a visit to the past. Imagine a Time Machine has just been built and time travel was possible, by traveling back in time, one would end up in a blank void, as the past is no longer available.
The point of origin for time travel is nothing more than an empty space as the past is no longer present and the future has not yet arrived. One cannot travel to the future because it has not yet been developed or Time Travel would already be viable.
Conclusion
Time travel will be possible to the past and the future but to an empty space in time.