Did something exist before time and space which presumably created time and space?
It is entirely possible that time and space existed before the Big Bang, certainly.
Well .... given that "time", "space", and "the Big Bang" are human names for an attempt to impose order on an ungovernable and chaotic universe, we'll probably never know if this is true.
Yes, It's possible that time and space existed before the Big Bang. It's also possible that they didn't. How can we tell, except by studying the matter further?
As for time and space: how can we say that "time and space" created "time and space"? That's like a theologian saying "And God created God", which makes no sense. *shrug* It would be more correct to say that humankind created time and space.
After all, what is "time" but our attempt to divide time into nano-seconds, seconds, minutes, hours, days etc.? Where else but on earth can such a concept be found? There's no time on, say, the moon. Until we got there, there were no calendars there and no watches, not even our ever-so-nifty digital ones.
After all, what is time to the moon? Or Mars? Or Alpha Centauri? Celestial bodies don't care about time. Or space. They don't care about anything. They just are.
Come to think of it, do cats or dogs or trees or waterfalls care about time and space? No. Only human beings care enough about them to worry about them.
So I say, let's not worry about something we can't see and can't control. Like God or gods, whoever he, she, it, or them might be. If a deity exists, I dare say he (just to avoid repeating all the pronouns) has enough on his/her/their/its plate, what with running the universe and everything, and doesn't need me to distract him with my prayers ("Yeah yeah yeah, I know, I'll get you through that operation. Get outta here, will ya?"). And if he/she/they/it doesn't, then my worship is pointless anyway.
Absolute logic can be a great source of consolation in times of strife. Sorry!