Interestingly it’s possible the universe could be older elsewhere. One of the theories regarding the big bang is that space-time underwent a phase change. The higher level phase had sufficiently different physics to let the energy level equalise despite the speed of light limits.
There is no reason the entire thing collapsed back into its current state at once. 1 theory has it happening as energy density dropped below a critical limit. Others have “bubbles” of “normal” space time forming, and expanding through the unshifted medium. There is no reason bubbles couldn’t be massively apart, temporally. The catch is, the bubbles will likely never have any communication, rendering the point abstract at best.
There’s also no reason the bubbles collapsed the same way. Other bubbles could have a vastly different flow rate of time, or a different number of spacial dimensions.
This is all head-of-a-pin physics however. As it stands, we couldn’t detect even a type 3 civilization out near the edge of our observable universe. That is also before light cone issues.