Would we still exist if time no longer exists?

Arguably at a quantum level the particles that make up our atoms and hence us already do.

Yes and here we've strayed into does time only go in one direction. Look up delayed choice. Here things at sub atomic level only decide what they are (wave vs particle) when you observe them.... but they went from generator to measurement already so essentially they rewrite their own history. Total mind blow I don't understand this stuff at all.
[youtube=https://www.google.co.uk/url?sa=t&source=web&rct=j&url=http://m.youtube.com/watch%3Fv%3DU7Z_TIw9InA&ved=0ahUKEwjlj8Xu8ePPAhXnIcAKHYHdDJYQwqsBCC8wAQ&usg=AFQjCNGbp695_VyeQ6I4FW-I4lOGV965SA&sig2=tJQlwApdoquzQoMNIUmwyQ]

Just to follow up, some things to think about. If time stopped existing, everything would become inert, including our own bodies. Even if the material somehow survived the loss of time, there would be no activity, no actions, nothing happening. So even if the matter persisted, it would basically just be a statue, not a person, no thoughts, no experiences, nothing. It's also possible that the material might not become inert, but start ignoring the normal rules, chemical reactions in your body would become chaotic, happening at different rates, going forward or backward, the biology of life as we know it would be impossible. But, even if you don't become inert, or a chemical meltdown, you'd still lose a fundamental precept of the human psychology, the passage of time and causality based on it. We organize our entire world views on time and it's passage, taking that away would render the human mind powerless, and quite probably induce insanity. So even if we didn't stop existing, become inert, or meltdown, we'd still have lost a core tenet of being human. I really can't think of any way to slice the issue in which human life as we know it continues.

There is so much to think about, haha.

I think physicists will disagree. How we measure it maybe but time is a fundamental principle with the make up of our universe

Lol chill dude I was joking