Will time one day end ?
Depends on what you mean by "the end of time". If there is no time then there is no relative change to measure, so you're probably talking about the heat death of the universe where all matter is evenly distributed and nothing is left in the form of energy.
The jury is out on whether that's a final end or just an extreme of a cycle that goes back to a new big bang. And of course the jury is out on whether this universe is the only one (likely, not).
Time and space are an illusion.
"For physicists, the distinction between past, present and future is only a stubbornly persistent illusion." -Einstein
Depends on the context of the word 'time' you are using...
I don't think anyone uses the Mayan calendar anymore, so in a way, that aspect of time is dead.
Will CE be a bygone era like BCE is to our perspective? Maybe it will one day end.
Will the universe wind down, maybe contract into a new big bang? I have no clue.
Do we understand time enough in relationship to with gravity to even make an assumption? I don't think so.