Obviously, the final answer is that we have no way of knowing how Daisy's choice of husband might be different if it were happening today instead of during the 1920's, the time period of The Great Gatsby. There are too many variables that come into play with such a decision to reach anything beyond reasoned guesses.
According to Jordan Baker, Daisy was infatuated with a soldier who she met before he went overseas to the war, but her family prevented her from continuing the relationship. Daisy moved on to marry the very wealthy Tom Buchanan, although she seemed to have second thoughts while heavily drinking by herself shortly before the rehearsal dinner.
Here, deares'." She groped around in a waste-basket she had with her on the bed and pulled out the string of pearls. "Take 'em downstairs and give 'em back to whoever they belong to. Tell 'em all Daisy's change' her mine. Say: 'Daisy's change' her mine!'
Daisy did go through with the wedding, but never forgot her fascination with her first love, the soldier who reinvented himself as Jay Gatsby.
In today's culture, the parents of most young women would not be able to control their movements and contacts to the extent that Daisy's parents did. If she had been able to travel to New York to visit her soldier before he left for Europe, that may have led to a wedding. However, Daisy truly loved being rich and may have concluded that a soldier's pay would not sustain the lifestyle to which she had been accustomed since childhood.