No, her brother Viserys gave her in marriage to Khal Drogo. Viserys' hope was that Khal Drogo's army would help him regain the throne. Viserys did not even survive the first season.
Ah ok..!
Her brother was a throw away character, just there to start the plot... annoying little snot, who was going to wind up dead sooner or later, that was obvious from the get go.. his ambition was far far beyond his abilities..