Chris, you can make a quicky bow with green wood but it is not going to be satisfactory in the long run. Your bow will get stronger as the wood dries and cures but is it tillered properly? Do a little research here in the build along section and through out the site. Ask questions of anything you don't understand about. Probably your best option would be to obtain a board of red oak, hickory or maple and make a simple board bow just to understand and learn the principles about wood bow building. It takes more than wood and tools to build wood bow. One of the most important thing is patience.
Good luck in your venture and welcome to PA. Pat