It is very clear that God extended life when the man asked Him for more time.

It is very clear that God can open and close the womb.

I believe we all have an appointed time to die. Therefore, is medicine just a way to deceive and make people not look to God for physical healing? To make them think man controls and gives life?

Yes.

Can God send someone to the hospital to mend a broken bone? Yes. But that person - the believer - thanks God for the healing because they know it was God, not the man.