Is time travel is possible? Theoretically, yes. Practically? No.
I believe in Hawking's concept of cosmic censorship... although I have my own peculiar rationale for it.
Here's how I see it:
Either the structure of space and time allows time travel, or it does not.
If it does, then at some point during the history of the universe, somebody, somewhere, will invent a time machine and will use it to change the past.
This will, in effect, "rewind the tape" and unravel all of history subsequent to the change that was made... INCLUDING the invention of the time machine. So history would forge a NEW path forward from there, and again time travel would be independantly invented. And a time machine would again be built, and used... again rewinding the tape and wiping out that version of history.
The history of the universe would be erased and rewritten, erased and rewritten, again and again. Space-time would be like a bed-sheet hanging on a clothes-line, flapping in the wind, changing shape over and over again... until by sheer accident history "locked" into a stable state, after which no further change would be possible.
... and what is the simplest random change that will protect the integrity of space-time?
Right. No time machines.
It isn't theoretically possible.
Tipler cylinders.
Rotating universes is another concept. Is time travel is possible? Theoretically, yes. Practically? No.