You would also have to consider, that early in the development of the culture, there would have been strong drive to create technological or biochemical means of supressing such "mating drive" in the human counterparts, that could be offered proactively (EG, part of a willful daily regimen. Such as say, with modern birth control pills.)
No, as NullForceOmega stated they were just a colony ship worth of people. Additionally, going to a planet with a few thousand people where you expect to eventually build a society of
billions wouldn't imply a "strong drive" to create
birth control. People going there would have expected to need to populate a planet, so they were pre- and self- selected for people who wanted to have lots of kids, but otherwise couldn't because they lived on an overcrowded and overdeveloped planet already.
When you're only bringing a limited amount of people, it's imperative that
everyone has kids, in order to preserve the gene pool. People, male or female, who didn't want kids wouldn't have come in the first place, and the culture would have been strongly biased towards pressuring people to have kids, because if you don't, your genetic payload is lost to future generations. And no, they wouldn't build high-tech medical facilities with gene banks, because the entire point of emigrating is to make a new life on a frontier planet, not to replicate the techno-monstrosity that was Earth in that timeline.