The answers to your first question is **“NO”. **
Jesus came so we may have life and have it more abundantly.
3 John: 1-2 “Beloved, I hope you are prospering in every respect and are in good health, just as your soul is prospering.”
Reading the Gospels, we see Jesus healed all the sick. He has never refused anyone of healing.
God does not want us to be sick just like He does not want us to sin.
We sin out of our free will. We get sick out of breaking the natural law. For example, if a person smokes, he may get lung cancer. If a person eats too much fat, he may get heart disease, if a person is exposed to harmful chemicals, he may also get cancer, if a person does not take proper care of himself, his immune system may break down, etc… God does not want us to be sick. We, either by our own neglect, or ignorance, or bad gene, or by other people’s behavior such as second hand smoke, or by contagious germs, can break the natural law of our body and get sick.
The answer to your second question is also “NO”, but
everyone’s life has been recorded in God’s book. If it is time for one person to go, then the person will leave this world. God is in charge of life and death. Everything has a time. A time to be born, a time to die… But God wants the best for each of us. He wants us to have long healthy life.
When suffering comes, we pray it to be lifted up but when it is not lifted up yet, we offer it up.