No, but if the other guy is richer, you will either start to emulate him (and become richer and more like him yourself), or he will eventually become a stockholder of yours at which point, he has effectively taken over. Do this across generations, and you have societies taking over others. It is no coincidence that no one emulates the society of Soviet Russia but everyone across the world emulates the rich high-output western ones.
Trade is not social take-over. You can trade and have any society you want. All is required is established contract law and private property rights.