That's exactly what he did during 'The Kingdom', ala his control over Hypertime... All these Supermen(whom Gog killed) were from different universes/timelines, for example: https://i.imgur.com/LbSkYEx.jpg
The problem, though, is that 'porting away from the field during a battle constitutes self-BFR(and an automatic loss), per forum rules.
Yeah, even if they both end up incapacitated, I agree that whoever is incapacitated *last* should be declared the winner... And in this case, Gog would technically be incapacitated *last*(if only by a nanosecond or two.)
...But the more I think about it, the more I see a BFR-dump into the depths of Hypertime as a plausible option for Gog. Granted, Monarch was able to hop all over the multiverse by way of the Bleed -- but the cumulative superstructure of Hypertime is infinitely more complex than the local 52 multiverse.
For example, Matthew Ryder was driven into insanity/unconsciousness just by merely glimpsing Hypertime: https://i.imgur.com/WNwSKnb.jpg https://i.imgur.com/qUTylYL.jpg
*And he's a member of the f*cking LINEAR MEN. Their job literally revolves around dimension/time/reality-hopping on a day-to-day basis, to ensure that creation maintains its proper ebb and flow -- but even his brain nearly melted at the sight of Hypertime.