Firstly the bible says:
And God hath set some in the church, first apostles, secondarily prophets, thirdly teachers, after that miracles, then gifts of healings, helps, governments, diversities of tongues. Are all apostles? are all prophets? are all teachers? are all workers of miracles? Have all the gifts of healing? do all speak with tongues? do all interpret? But covet earnestly the best gifts: - 1Co 12:28
The above scripture show us that God, has specifically assigned people in the church to have different functions. Any Christian given time and space to grow and develop their relationship with Jesus can perform a miracle. However not all Christians can perform a miracle on the spot. I have seen some small instant healings, but I am certainly not a “worker of miracles”. God has spoken to me many times, but I am no prophet. Does that mean we should not pray for people who need a great big miracle, of course not, prayer and especially corporate prayer is very powerful. If you visit our home page you will see examples of some miracles. I have even heard of stories of people who in Jesus name have raised a dead person back to life, David Hogan in Mexico is an example of performing this. But let us remember.
But covet earnestly the best gifts: and yet shew I unto you a more excellent way. Though I speak with the tongues of men and of angels, and have not charity, I am become as sounding brass, or a tinkling cymbal. And though I have the gift of prophecy, and understand all mysteries, and all knowledge; and though I have all faith, so that I could remove mountains, and have not charity, I am nothing - 1Co 12:31-13:1-2
In some situations God does not answer our desire for healing. But if you read the bible there is a story of a famous man of God, Elisha, he got sick and died of his sickness, this man had been known to have performed many miracles, yet he himself died sick. But the end of his life was glorious, he was so full of God's power that when he died and was put in a tomb a dead man was thrown in his grave the dead man came alive again and revived. So don't think that just because you are sick God can't use you, God can work powerfully in your life.