No because the Byzantine Empire wasn't a monarchy like Western European states. While the Emperors usually tried to designate a successor, and when they did so often tried to designate a relative, succession was complex and involved a number of factors including popular legitimacy and various players within the court.
Even where the Byzantines had relatively long lasting "dynasties" like the Macedonian dynasty, there is not the straight line formulaic succession associated with a monarchy, and sometimes totally unrelated military officers becoming emperor, or kinda-sorta-family succession, like one guy became Emperor because he was the boyfriend of Empress Zoe.
There were obviously political marriages, and families that could be expected to have influence over long periods of time, but marrying the "heir" involves a lot less certainty than it would in Western Europe, so you would not see that sort of dynastic marriage.
There were instances of minor Armenian or Georgian rulers in Eastern Anatolia leaving their territory to the empire or willingly being absorbed, but that's more of a deal between the local elite of the territory and the Byzantine state and elite, rather than a deal between individual rulers or royal families.