I think time travel is impossible.
BUT....
In quantum realm we can entangle particles from present to any particle in past and future.
So if we could manipulate this physical property we could scan any event in past with a molecular resolution and we could be able to rebuild that configuration in our present moment (in a fantastic simulation).
So it's possible to build the past in present in an atomic resolution. You would not tell the difference. In any way, it's a true time travel. But instead os you travelling it's the place that actually travels. It's just like bringing on the Eiffel Tower to your backyard.
BUT...
This far we still haven't found how to extract information from quantum particles. That's the challenge of quantum computing, and some progress are being made with the elusive Qubits.
From this moment the quantum particles are very experienced travellers but they are mute and do not share any vacation pics with us. LOL