Yes you still have a chance. I also failed the test when I first started out. I was told to come back and try again in six months and later on I was hired.
There could be a chance it isn't legal. You might want to ask a local PD. Also I don't think its a good idea to wear it, there are some people out there that don't like cops and might take some form of action towards you.
Re: Does your police department require a bachelor’s degree to be eligible for employ
It's not a requirement in my PD. But you will not have alot of room to move up.
Sure you can refuse it. You will be arrested for drinking and driving. Depending what state you live in, you will lose your license for refusing to take the test.
Going out every day knowing I can make a difference. I also like that the fact there is no telling what dangers you are going to have to deal with each day.