Time travel within the same universe is not possible, it is a fun fiction which is always contradictory in some way. The only time travel possible would be the one that William Gibson uses in The Peripheral. His idea is that every time you go back in time a new parallel universe is created, and it doesn’t impact your current universe because of that.

My theory is that we’re one of the most advanced species in our galaxy, and yet we still can’t reach another solar system. The probability of intelligent life forming from unintelligent life is extremely unlikely, and we had life on Earth for a LONG time before humans evolved. Intelligent life is very difficult to form, you need the perfect conditions and perfect stressors over millions of years. Then on top of that intelligent life which can reach another solar system is even less likely.

There’s life out there thinking the same thing right now:

Incorrect. The child support liability on multiple timelines could no longer be insured.