The fact that we exist means that something exists, but it does nothing to negate the possibility of imagining a state of affairs where nothing exists.
In fact, I've found imagining nothing a very fruitful thought experiment because it reveals our mistaken notions of time, existence, and a universal "God" perspective.
First, let's define "nothing" as no particles, no energy, no fields. In this context, there is no space, no change, no existence.
A thought experiment conceiving nothingness is relatively easy to imagine for anyone who's tried to imagine the Big Bang. Just ask yourself what existed prior to the Big Bang. Many people imagine that space, with all its fields and potentialities existed, but that is not what the Big Bang actually posits. The Big Bang actually brought all of space, energy, fields, everything into existence. There is no moment prior to the Big Bang, only nothingness.
The conceptual mistake people make is that they imagine a period before the Big Bang as if time were passing while nothing existed. This implies a God perspective, a point of view that observes the non-existence of everything. This is a logical impossibility because in order for this perceiving Presence to exist, there must be something.
In order to have space, you must have an object, energy, or field present. Space becomes defined as whatever is not the object of existence, or the lack of obstructive contact. In order to have change, and thereby time, we must have two objects. The relationship between the two objects defines distance in space, and the changing nature of of the relationship creates the conditions we perceive as the passage of time.
Let's take the Big Bang thought experiment one step further. Let's assume the Universe is cyclical. There is a Big Bang, a big Crunch or big Rip, followed by a period of nothingness and another Big Bag. During the "interim" period between Big Bangs, does anything exist, and does time pass?
Since a period between Big Bangs would be characterized by Nothing, there is no existence, no change, no time. There would be no perceiving consciousness, no God perspective, because as I pointed out above, that is a logical impossibility. If we had a Big Bang, a billion year hiatus, and another Big Bang, how would we know the billion years had occurred? Any conception of such a period of changeless non-existence is a logical impossibility.
So the entire question of this post "Why is There Something Rather Than Nothing?" is meaningless. There is something because we are here. If there was Nothing, we wouldn't know it because we wouldn't exist either.