No, please don't take any cuttings now. Best to wait. Here, read these two links.
This link has some detailed information about where and how to take the cuttings and how to prepare them.
homeguides.sfgate.com/propagate-ginkgo-64305.html
On this link scroll down about 1/3 of the way to find details for propagation by cuttings:
http://kwanten.home.xs4all.nl/...
Oh, I forgot to say...if you document the process with photos you can write an article for All Things Plants to help others learn. You could try using different mediums or methods to see which works the best.