In your question, you are asking the already existing universe to create itself. Obviously, it couldn't... since it already exists.
However "nothing" (whatever that is) can create something - and the corresponding anti-something. Those who study "nothing" have noted that it is quite unstable. It does tend to break down into something (and its anti-something). No laws of physics are broken, since the sum of what is created is zero.
The idea of those who say that the universe "poofed" out of nothing is based on that. The probability of a bigger "something" goes down with the size of the something (we can observe quantum fluctuations creating electron-positron pairs -- creation of proton and anti-proton pairs is A LOT rarer); however, it never reaches exactly zero.
The probability of "nothing" creating a universe is extremely small, but it is NOT zero. And we only need for it to happen once. When Richard Feynman tried to build a model for that, he quickly realized that there would have been an anti-universe created at the same time, with this anti-universe moving backwards in time (in this way, the two would never meet). However, his model had mathematical flaws and was forgotten (that was back in the 1960s)
I do not believe in such quantum fluctuations being able to create a whole universe. However, as a mathematician, I cannot remove the possibility, however small, that it COULD happen. I cannot prove it to be impossible.
Father Lemaitre, the priest who created the mathematical model that became the Big Bang theory, thought that God used natural events to "create" the universe. The quantum fluctuation is a natural event, and it could have caused the appearance of the universe out of nothing.
So who knows.
Father Lemaitre used to say that his model being based on scientific evidence, it should work even for atheists (they were very much against the Big Bang theory). In science (real science), belief in God changes nothing: He set out the rules and science tries to untangle these rules.