I exhort therefore, that, first of all, supplications, prayers, intercessions, and giving of thanks, be made for all men; For kings, and for all that are in authority; that we may lead a quiet and peaceable life in all godliness and honesty. 1 Timothy 2:1-2 KJV
Praying for others touches the heart of God. He will move mountains for those who entreat Him in prayer. He will touch the heart of kings, nations, and peoples.
Beloved, do not under estimate the import of your communication with your Father God.
If my people, which are called by my name, shall humble themselves, and pray, and seek my face, and turn from their wicked ways; then will I hear from heaven, and will forgive their sin, and will heal their land. 2 Chronicles 7:14 KJV
Yes, prayer changes things