Can we affect salvation through prayer?

Christian apologist Matt Slick, founder and president of the Christian Apologetics & Research, hosts a live radio show every weekday. The show invites callers to ask questions they have about Christianity and many other topics related to it. Recently, a caller asked Matt how to pray for the unsaved if election is true. He explained that election means that God has chosen some people to be saved, and predestination means that he did so before the creation of the world. He said that we cannot know who is elect and who is not, and that some people who are not saved now may become saved later. It's ok to pray for God to elect someone.
God is Good.

James 5:16 NASB95 - Therefore, confess your sins to one another, and pray for one another so that you may be healed. The effective prayer of a righteous man can accomplish much.