Absolutely! Taking a class will give you tons of information with an instructor who can help you put it all in perspective. A good birth class will give you a strong understanding of what is going on in your body now and what will happen throughout labor. It will also provide you with tools to cope with the discomforts of late pregnancy and the rigors of labor (both holistic methods and medicinal). People are under the impression that choosing an epidural is the only thing they need to worry about which is false. Plus there will be plenty of hours of labor before you will even want an epidural but will want to know how to make it all go smoothly!
I think the biggest thing you pull from a class is the understanding that there is no one right way to give birth. Honestly, I am VERY biased as I am a childbirth instructor and a Birth Doula. One of the best compliments I have received from my students has been "Wow, I did not know that I had so many choices about how my birth experience would unfold!" This is your body, your baby, your birth and you do not get a do over in this journey. If you do not understand what is going on or you do not exercise your right to choose the path you are on, your doctor and the nurses will make your decisions for you.
As far as finding a class goes, you are cutting it tight! Check with the hospital where you will deliver and if they do not have anything that works for you, try other local hospitals. I teach at Valley (in Ridgewood) and one option that you could try (if you truly cannot get into a class) is an online Lamaze series. Nothing is better than sitting in a class with a great instructor but I have gone through the online class and the info is terrific and well presented.
Good luck and remember that knowledge is power!!