Is it possible that the men that caught the woman in the act of adultery were lying and the woman was actually innocent? John 8 1-11?

No because Jesus told the woman to go and sin no more. It is likely that Jesus was exposing the hypocrisy of her accusers.

Catholic

No, it's not possible. The difficulty the men had was that Jesus began to write in the sand. It's quite possible He wrote the names of the women that those same men had been having adulterous affairs with. The Levitical Law stated that when a couple were discover in adultery, BOTH the woman AND the man were to be stoned to death. She obviously was not "discovered" in adultry alone! So when these men asked Jesus what they should do to her, Jesus was reminding them that they too should be stoned for their past deeds. [Does it not strike you as odd that these men knew right were to find the woman?!]

No,Jesus knew that she had been caught in the act of adultery. The scriptures were clear that those caught in adultery were to be stoned to death. These "religious leaders" only brought the woman before Jesus and not the man. If Jesus had allowed judgement to proceed and the sentence carried out on the woman alone and not the man then this would have been unjustified and murder. Jesus had no part in their plot to trap Him in such.

It isn't a true story. It was added to John many centuries after the rest of the gospel was written, and the events depicted would not have occurred that way in biblical times.

Well...yes, of course that's POSSIBLE

but if we accept the author's claim

then

the woman was in fact caught in adultery

https://www.biblegateway.com/passage/?search=john+...

SO:

the best-available evidence teaches us that the woman was an adulteress

and we have no good reason to believe otherwise.

I've heard some say the story is an add on. So it might be an allegory anyway

Then again even if it's an add on the story might have happened as written

I never heard of men being stoned in the Christ myth

Yes. However, given that the passage does not appear in the oldest surviving manuscripts, it is more likely that it was not a real event at all, and was added after the original writing.

She was a whore.

But there was standing all around her people whose lives were filled with sin.

No one better or worse than the other.