No, it's not, whatever you mean by universe (wasn't it you that had a private definition of universe that include more that our universe?). This is a problem for pure reason, because it cannot be answered empirically yet, and maybe never. That there is something rather than nothing requires either that something has always existed or that something came into existence uncaused. Whatever the case, it seem to me that it must be one or the other of these, and not neither or both (see
MECE).
Unless you can explain why you believe that the universe must be eternal, there is nothing to rebut. Is your argument that something coming from nothing is absurd because it's counterintuitive to you and just feels wrong or impossible? If so, that needs no rebuttal. OK, that's how things seem to YOU, but why should that matter to the critical thinker who sees that that incredulity argument is flawed?
I already did (see above and below).
You believe in the existence of a deity that created everything else, correct? If so, does that include time? Does it include consciousness and intelligence? Do you consider that deity the source of those things?
Incidentally, like you, I sense that there is likely more to reality than the bubble of spacetime that began expanding almost 14 billion years ago, and that the totality, which includes its source, has always existed without beginning. But it is only an intuition, not a decidable matter, and I don't consider it correct, just possible, and for me (for reasons I cannot provide) seems likelier than the only alternative.