I don't think so because all the elements being plugged into the Drake Equation (for example) exist within our universe and not in any parental or child universes. In fact, the Drake Equation only speaks of potential life in our galaxy rather than the next step beyond that.

The estimates relating to the paradox all come from what we've understood to be around us - galaxies, stars, planets, etc.

(IANA anything of any consequence to this discussion - just an eager reader!)