Yes you can date without sex but in reality...
...both parties want sex. The only difference is when.
Due to the nature of human physiology women have to withold sex in order to test if the male is emotionally invested. This mechanism worked with our ancestors since mothers needed emotionally bonded fathers to stick around and take care of them and the baby.
This form of biological safenet has shaped culture itself. Until today we use much the same mechanisms with our relationships. This is also why guys who date a lot are considered desirable and sexy but the when women do it are considered sluts.
Men spread their seed. They don't care where it lands. Women have to choose wisely since they will be stuck with the offspring.
Funny how you don't see that these paragraphs contradict themselves. After all, if women have to choose wisely an emotionally bonded father then promiscuous men should be considered the worst ones, shouldn't they? And if men don't care where their seed lands they should consider promiscuous women more desirable than chaste ones? Granted, they might not be the ones to impregnate a promiscuous woman, but they stand a chance, and a chaste woman is for pretty much everyone off limits. So it's certainly not that simple.
It also appears that cultural prejudices against female promiscuity are being deconstructed in the West for several decades now. So it doesn't look genetic at all.