No, you cannot can zucchini noodles. Zucchini noodles are made from thinly sliced zucchini squash. They have a high water content and are very perishable. As a result, they are not safe to be canned and will turn to mush if you try to can them. If you want to store zucchini noodles for an extended period of time, your best bet is to freeze them. Freezing does not sterilize food like canning does, but it does prevent the growth of new microbes and slow down the activity of existing ones.