YES. I personally stand witness to all the miracles that these prayers have brought to my life, but of course, God is not a genie or Santa Clause, we must understand that whatever we ask for should comply with His greater plan. Although He gives us the free will to choose our own paths in life, He will not give us something that will harm us remember, He is our Father, remember to ask only for things that are good and your intentions pure, otherwise I doubt if anything will happen. However, no matter how impossible something may be, it shall be granted, but don't ask for things like, "I wish she would fall in love with me and leave her husband."
Jesus said, Ask, and you will receive; seek, and you will find; knock, and the door will be opened to you. For everyone who asks will receive, and anyone who seeks will find, and the door will be opened to those who knock. Would any of you who are fathers give your son a stone when he asks for bread? Or would you give him a snake when he asks for a fish? As bad as you are, you know how to give good things to your children. How much more, then, will your Father in heaven give good things to those who ask him!
Faith. Believe in Him from where all good things come from, your faith must be sincere, and you should do something too as it is said in the Bible, "Faith without actions is dead," so don't just believe, do something, and also, help other people as God has helped you.
Remember also that our prayers may not be answered in the way we expect, God does move in mysterious ways! Rest assured that whatever the outcome it will always be for the best.
If for what ever reason we feel out prayers have not been answered in the way that we would expect, the best course of action is to pray that we be given guidance to see our Father's path.
Many people only pray when they are in desperate need, we should try to keep in conscious contact with God on a daily basis in good times or bad, giving thanks to the Lord our God and praying for others in need.
There are certain things you should do after your prayer is granted, but most importantly do something out of your heart help the poor and the needy you don't have to give large sums of money, even for just one night give a burger to that beggar on the street. God has done a miracle for you; you should let God use you as an instrument to make miracles happen for others