No, no it's not.
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I mean, you have to be a time traveler (as the sex-off happens before those particular girls enter your harem), but. :P
On an entirely different note: is there a way to change Lin's scores for the sex-off, when reviewing it in the gallery? She counts as if she had a 0 in everything, which is... Not ideal.
Also, the MC is consistently called "Mr. Manager" throughout, when using the Gallery.
While that isn't a huge deal, it does mark the Gallery as "not the real deal" - so that, instead of remembering previous events, you are looking at some parallel reality.