No, not if our current measurements of red shift (telling the speed of expansion) are telling us what we think they are. The red shift of the most distant objects is greatest, indicating they are moving away the fastest. That makes sense, as the most distant objects got to be most distant by moving away most rapidly. But what’s unnerving is they are accelerating. It is 13.75 billion years since the Big Bang. We would not expect the explosive force of a Big Bang to outlast gravity that long. Based on the observed mass and velocities of things in the Universe, it should have expanded to a certain point, then began to collapse on itself due to gravity. Since that doesn’t seem to be happening, and the opposite is expanding ever faster instead, something as yet unknown is at work. Things simply flying out from an explostion do not accelerate.
Cosmologists have theorized that there must be additional mass and energy in the Universe that is not observable using ordinary means, and that this “dark matter” and “dark energy” account for the surprising acceleration of expansion. That may be. But we need some observations to prove it. Without observed evidence of such, they become little more than fudge factors to make observed data agree with a potentially flawed theory.
My SWAG is that there are more than 3 spatial dimensions in the Universe, and that we will ultimately find that the Universe is expanding toward itself and will Bang again when it hits. Call that one the Big Dang if you happen to be here when it occurs.
I say this not just as wild speculation, but because as far as we can observe, the Universe seems to be centered around the observer no matter where that observer might be. In other words, when viewed from Earth, the most distant objects in any given direction seem to be at the same predictable distance from us. That would suggest that Earth is the center of the Universe. However, we are pretty sure from observation that if we could travel to one of those objects that appear to be on the very edge of the Universe as viewed from Earth, and look out in any direction form there, that place would seem to be the center of the Universe as well. Everywhere in the Universe looks like it is the center. This is a feature we never observe in 3-dimensional space.