Do we believe that Voyager would have been assigned to Deep Space Nine after the successful capture of Chakotay's Maquis cell?
Bashir working (dates not ending in sex.) his way through the female compliment?
Seriously, almost all of them dated Harry, they had ridiculously low standards.
Although Kim was one of only 60 human males in the Delta Quadrant, which is shit you just can't teach, when it comes to chasing tail.
They had low standards for a good reason.
Although even though you could claim that Dax was working her way through Voyagers male compliment too, she didn't start to like Julian until he stopped being aggressively cheesy and hitting on her constantly, and that level of diffusion that came with time is exactly what Voyager would have offered in season 3 of DS9.
Ergo, Bashir and Jadzia would have hooked up BEFORE or IF Worf joined the team.