I'm completely new here, but I wanted to reply because you sound so distressed!
I don't think it is true that God is not listening to you and is simply ignoring your request. I think that it might be that he wants you to work through this on your own and make up your mind based upon what you know about him.
I don't think that methods of contraception designed to prevent conception are wrong because a human life is not taken. Methods such as IUD's are wrong, however, because their sole purpose is to prevent implantation after conception has occurred.
Others think that using contraception is wrong because it means that you don't have faith that God will care for you. I think that God wants us to have faith but also to take steps to care for ourselves as well. After all, when Nehemiah and the people rebuilt the walls, they posted guards and worked with a tool in one hand and a sword in the other! In my opinion preventing conception until you are in the position to safely carry a baby and care for it properly is just being responsible. Not using contraception and relying on God to go against his design and keep you from getting pregnant is like not eating any fruits and vegetables and asking God to prevent you from getting scurvy!
I guess you need to determine what is making you hesitant about using contraception. Are you concerned that it means that you aren't trusting God, or are you worried that it might be taking a life?
With the pill it is true that there is a small chance of ovulation, and once this ovulation occurs there is also a small chance that fertilization may occur. While you are on the pill your uterine lining will be thickened and not as receptive to implantation. It is true then that there is a small chance that the pill may act as an abortifacient by preventing implantation. This risk is greatly lessened by taking the pill every day on time. Personally we've decided that the chances of this happening are so slim that it's probably about as risky as exercising too much or drinking too much coffee.
If you are unwilling to use the pill because of this there are other barrier methods that simply prevent the sperm from reaching the egg, such as condoms, the cervical cap, the cervical sponge, or a diaphragm. Most if not all of these can be used along with spermicide.
If you're unwilling to use any type of contraception, you might research Natural Family Planning (not the rhythym method!) This site talks about it some:
http://ccli.org/nfp/basics/effectiveness-p01.php It involves tracking ovulation based upon trends in body temperature and changes in cervical mucus.
Your friend's situation and choice not to have an abortion aren't necessarily related to this, because abortion is definitely wrong, but the situation with contraceptives isn't so clear!
I hope this post is helpful to you.