No, there's not going to be another "you" around just because the universe is so big.
This idea has been popping up in here several times a week lately.
I get it, you think because time is infinite and the universe is super big, some things are bound to repeat at some point. First of all, entropy doesn't work that way. But even ignoring that, just think about it for a minute.
Your mind, built by your consciousness, is the product of a very specific chain of events and experiences, from before the moment of your conception to the act of reading this words. This means it can only exist as it is if your exact mother birth you, and for her to exist there's a similar set of things that needed happening, sans you, and this extends all the way back to the beginning of time. How can you have that twice in the same universe?
Here's another angle of this impossibility: imagine you have the power to clone yourself, exactly 1:1 to the point you won't even know if you're the original or the clone. The two of you will actually have achieved same exact consciousness, yay, but only during the very first instant. A second passes and you're different people, because you are not occupying the same place in space and your chain of thinking would have already diverted. Even in this perfect scenario you can only achieve it for an infinitesimal fraction of time, like a tangent touching a circle.
And lastly here's a math angle: There's an infinite amount of numbers between one and two but none of them is three. Also you can keep counting infinitely, but you'll never count the same number twice.