I don't think spirits reproduce. That is supposing that souls and spirits are one in the same. Anyway, I doubt that they would have much of a need for a sexual drive.
If we are talking about human spirits, then they could be driven by the memory of sex. If they are still hanging around here on some unfinished business...
But, if we are talking theologically. Then I suppose that there would be spirits of lust wafting around out there. Lurking in the shadows, waiting to ensnare up into temptation, sin and ultimately hell...
I guess it all depends on your angle.