Absolutely not. If we did, we could simply say a prayer, bind the Devil and he would never come back. Better still we could call on Jesus to do away with the Devil altogether. But we know that won’t happen. What we do have is absolute authority over sin in the sense that we can overcome it and enter heaven. But we cannot do away with sin. We do not have absolute power over anything in fact – only God has that power. Besides, the Bible makes it absolutely clear that Satan, having decided not to serve God, now has another purpose to serve; to chasten the disobedient, to punish and blind the wicked and to purify the obedient. But He will not do away with the Devil as that is the Devil’s whole complaint in the first place – that God forces His will on others and does not offer us true freedom.
So why pray? Answer: because if all we have to do is speak words to unleash all kinds of blessings on untold numbers of what would otherwise be bad people and situations, and bind up all kinds of evil – then why not? Not to pray would and is a sin in itself!